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230013113100 = 223522309332053
BaseRepresentation
bin1101011000110111011…
…0011001001100001100
3210222201000020210122220
43112031312121030030
512232031324104400
6253355551135340
722421640126321
oct3261566311414
9728630223586
10230013113100
1189603451301
12386b2b14550
13188c8325ab4
14b1c0180b48
155eb32dd7a0
hex358dd9930c

230013113100 has 72 divisors (see below), whose sum is σ = 665794834320. Its totient is φ = 61310081280.

The previous prime is 230013113087. The next prime is 230013113149. The reversal of 230013113100 is 1311310032.

230013113100 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 2×2300131131002 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230013113100.

It is an unprimeable number.

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, 526674 + ... + 858726.

Almost surely, 2230013113100 is an apocalyptic number.

230013113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013113100 is an abundant number, since it is smaller than the sum of its proper divisors (435781721220).

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

230013113100 is a wasteful number, since it uses less digits than its factorization.

230013113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334379 (or 334372 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 230013113100 its reverse (1311310032), we get a palindrome (231324423132).

The spelling of 230013113100 in words is "two hundred thirty billion, thirteen million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2309 4618 6927 9236 11545 13854 23090 27708 34635 46180 57725 69270 115450 138540 173175 230900 332053 346350 664106 692700 996159 1328212 1660265 1992318 3320530 3984636 4980795 6641060 8301325 9961590 16602650 19923180 24903975 33205300 49807950 99615900 766710377 1533420754 2300131131 3066841508 3833551885 4600262262 7667103770 9200524524 11500655655 15334207540 19167759425 23001311310 38335518850 46002622620 57503278275 76671037700 115006556550 230013113100