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230300101201302 = 234111031577991891
BaseRepresentation
bin110100010111010011101011…
…101110010100110110010110
31010012102110211000200101220000
4310113103223232110312112
5220141214101401420202
62133450223402552130
766336430125104046
oct6427235356246626
91105373730611800
10230300101201302
11674207a7242740
12219b5851b08646
139b6728b4a1252
1440c2827737726
151b9597a36791c
hexd174ebb94d96

230300101201302 has 160 divisors (see below), whose sum is σ = 572041983262464. Its totient is φ = 68670154987200.

The previous prime is 230300101201277. The next prime is 230300101201307. The reversal of 230300101201302 is 203102101003032.

230300101201302 is a `hidden beast` number, since 2 + 30 + 30 + 0 + 101 + 201 + 302 = 666.

It is a super-2 number, since 2×2303001012013022 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230300101201307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24820777 + ... + 32812667.

Almost surely, 2230300101201302 is an apocalyptic number.

230300101201302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230300101201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286020991631232).

230300101201302 is an abundant number, since it is smaller than the sum of its proper divisors (341741882061162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230300101201302 is a wasteful number, since it uses less digits than its factorization.

230300101201302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992176 (or 7992167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230300101201302 its reverse (203102101003032), we get a palindrome (433402202204334).

The spelling of 230300101201302 in words is "two hundred thirty trillion, three hundred billion, one hundred one million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 103 157 162 198 206 297 309 314 471 594 618 891 927 942 1133 1413 1727 1782 1854 2266 2781 2826 3399 3454 4239 5181 5562 6798 8343 8478 10197 10362 12717 15543 16171 16686 20394 25434 30591 31086 32342 46629 48513 61182 91773 93258 97026 139887 145539 177881 183546 279774 291078 355762 436617 533643 873234 1067286 1309851 1600929 2619702 3201858 4802787 7991891 9605574 14408361 15983782 23975673 28816722 47951346 71927019 87910801 143854038 175821602 215781057 263732403 431562114 527464806 647343171 791197209 823164773 1254726887 1294686342 1582394418 1646329546 2373591627 2469494319 2509453774 3764180661 4747183254 4938988638 7120774881 7408482957 7528361322 9054812503 11292541983 13801995757 14241549762 14816965914 18109625006 22225448871 22585083966 27164437509 27603991514 33877625949 41405987271 44450897742 54328875018 66676346613 67755251898 81493312527 82811974542 101632877847 124217961813 129236869361 133352693226 162986625054 203265755694 244479937581 248435923626 258473738722 372653885439 387710608083 488959875162 733439812743 745307770878 775421216166 1117961656317 1163131824249 1421605562971 1466879625486 2235923312634 2326263648498 2843211125942 3489395472747 4264816688913 6978790945494 8529633377826 10468186418241 12794450066739 20936372836482 25588900133478 38383350200217 76766700400434 115150050600651 230300101201302