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230300102002032 = 24323747919670077
BaseRepresentation
bin110100010111010011101011…
…110001011000010101110000
31010012102110211002012002021200
4310113103223301120111300
5220141214102103031112
62133450223432051200
766336430134650406
oct6427235361302560
91105373732162250
10230300102002032
11674207a773a2a7
12219b5852233b00
139b6728b6c185a
1440c28278a5476
151b9597a474cdc
hexd174ebc58570

230300102002032 has 120 divisors (see below), whose sum is σ = 676023723575616. Its totient is φ = 73102735001088.

The previous prime is 230300102002031. The next prime is 230300102002039. The reversal of 230300102002032 is 230200201003032.

It is a happy number.

230300102002032 is a `hidden beast` number, since 230 + 30 + 0 + 1 + 0 + 200 + 203 + 2 = 666.

230300102002032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303001020020322 (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 junction number, because it is equal to n+sod(n) for n = 230300102001996 and 230300102002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230300102002031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459584623 + ... + 460085454.

Almost surely, 2230300102002032 is an apocalyptic number.

It is an amenable number.

230300102002032 is an abundant number, since it is smaller than the sum of its proper divisors (445723621573584).

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

230300102002032 is a wasteful number, since it uses less digits than its factorization.

230300102002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919670175 (or 919670166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230300102002032 its reverse (230200201003032), we get a palindrome (460500303005064).

The spelling of 230300102002032 in words is "two hundred thirty trillion, three hundred billion, one hundred two million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 141 144 148 188 222 282 296 333 376 423 444 564 592 666 752 846 888 1128 1332 1692 1739 1776 2256 2664 3384 3478 5217 5328 6768 6956 10434 13912 15651 20868 27824 31302 41736 62604 83472 125208 250416 919670077 1839340154 2759010231 3678680308 5518020462 7357360616 8277030693 11036040924 14714721232 16554061386 22072081848 33108122772 34027792849 43224493619 44144163696 66216245544 68055585698 86448987238 102083378547 129673480857 132432491088 136111171396 172897974476 204166757094 259346961714 272222342792 306250135641 345795948952 389020442571 408333514188 518693923428 544444685584 612500271282 691591897904 778040885142 816667028376 1037387846856 1225000542564 1556081770284 1599306263903 1633334056752 2074775693712 2450001085128 3112163540568 3198612527806 4797918791709 4900002170256 6224327081136 6397225055612 9595837583418 12794450111224 14393756375127 19191675166836 25588900222448 28787512750254 38383350333672 57575025500508 76766700667344 115150051001016 230300102002032