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10002100330230 = 2351941991145971
BaseRepresentation
bin1001000110001100101110…
…1000110001111011110110
31022102012011120101002020220
42101203023220301323312
52302333300141031410
633134522414235210
72051425241015121
oct221431350617366
938365146332226
1010002100330230
113206959978228
1211565831b5b06
1357726a330788
142681660633b8
1512529e523070
hex918cba31ef6

10002100330230 has 128 divisors (see below), whose sum is σ = 25357125427200. Its totient is φ = 2517993878400.

The previous prime is 10002100330217. The next prime is 10002100330273. The reversal of 10002100330230 is 3203300120001.

It is a super-2 number, since 2×100021003302302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217551145 + ... + 217597115.

It is an arithmetic number, because the mean of its divisors is an integer number (198102542400).

Almost surely, 210002100330230 is an apocalyptic number.

10002100330230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002100330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678562713600).

10002100330230 is an abundant number, since it is smaller than the sum of its proper divisors (15355025096970).

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

10002100330230 is a wasteful number, since it uses less digits than its factorization.

10002100330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47330.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10002100330230 its reverse (3203300120001), we get a palindrome (13205400450231).

The spelling of 10002100330230 in words is "ten trillion, two billion, one hundred million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 419 570 838 911 1257 1822 2095 2514 2733 4190 4555 5466 6285 7961 9110 12570 13665 15922 17309 23883 27330 34618 39805 45971 47766 51927 79610 86545 91942 103854 119415 137913 173090 229855 238830 259635 275826 381709 459710 519270 689565 763418 873449 1145127 1379130 1746898 1908545 2290254 2620347 3817090 4367245 5240694 5725635 7252471 8734490 11451270 13101735 14504942 19261849 21757413 26203470 36262355 38523698 41879581 43514826 57785547 72524710 83759162 96309245 108787065 115571094 125638743 192618490 209397905 217574130 251277486 288927735 365975131 418795810 577855470 628193715 731950262 795712039 1097925393 1256387430 1591424078 1829875655 2195850786 2387136117 3659751310 3978560195 4774272234 5489626965 7957120390 10979253930 11935680585 17547544439 23871361170 35095088878 52642633317 87737722195 105285266634 175475444390 263213166585 333403344341 526426333170 666806688682 1000210033023 1667016721705 2000420066046 3334033443410 5001050165115 10002100330230