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230211121232200 = 23524371377024437
BaseRepresentation
bin110100010110000000110100…
…000110101011100101001000
31010012002222010212011122002211
4310112000310012223211020
5220133234334013412300
62133341310141234504
766330130122616363
oct6426006406534510
91105088125148084
10230211121232200
1167396a96386999
12219a055a862a34
139b5ba7aab0664
1440bc3c60bd0da
151b934bd8274ba
hexd160341ab948

230211121232200 has 96 divisors (see below), whose sum is σ = 555402240106560. Its totient is φ = 88676147347200.

The previous prime is 230211121232149. The next prime is 230211121232203. The reversal of 230211121232200 is 2232121112032.

It is not an unprimeable number, because it can be changed into a prime (230211121232203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187901619 + ... + 189122818.

It is an arithmetic number, because the mean of its divisors is an integer number (5785440001110).

Almost surely, 2230211121232200 is an apocalyptic number.

230211121232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230211121232200 is an abundant number, since it is smaller than the sum of its proper divisors (325191118874360).

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

230211121232200 is a wasteful number, since it uses less digits than its factorization.

230211121232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377024567 (or 377024558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 230211121232200 its reverse (2232121112032), we get a palindrome (232443242344232).

The spelling of 230211121232200 in words is "two hundred thirty trillion, two hundred eleven billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 71 86 100 142 172 200 215 284 344 355 430 568 710 860 1075 1420 1720 1775 2150 2840 3053 3550 4300 6106 7100 8600 12212 14200 15265 24424 30530 61060 76325 122120 152650 305300 610600 377024437 754048874 1508097748 1885122185 3016195496 3770244370 7540488740 9425610925 15080977480 16212050791 18851221850 26768735027 32424101582 37702443700 53537470054 64848203164 75404887400 81060253955 107074940108 129696406328 133843675135 162120507910 214149880216 267687350270 324241015820 405301269775 535374700540 648482031640 669218375675 810602539550 1070749401080 1151055606161 1338436751350 1621205079100 2302111212322 2676873502700 3242410158200 4604222424644 5353747005400 5755278030805 9208444849288 11510556061610 23021112123220 28776390154025 46042224246440 57552780308050 115105560616100 230211121232200