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230112202100 = 225211474450913
BaseRepresentation
bin1101011001001111000…
…0011000110101110100
3210222221220201001012212
43112103300120311310
512232232210431400
6253413451032552
722424252305454
oct3262360306564
9728856631185
10230112202100
1189654380340
123872013b758
1318912a0aa41
14b1cd3b5d64
155ebbd63335
hex3593c18d74

230112202100 has 72 divisors (see below), whose sum is σ = 556328642688. Its totient is φ = 81896780800.

The previous prime is 230112202049. The next prime is 230112202141. The reversal of 230112202100 is 1202211032.

It is a happy number.

230112202100 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 2×2301122021002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2173757 + ... + 2277156.

It is an arithmetic number, because the mean of its divisors is an integer number (7726786704).

Almost surely, 2230112202100 is an apocalyptic number.

230112202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230112202100 is an abundant number, since it is smaller than the sum of its proper divisors (326216440588).

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

230112202100 is a wasteful number, since it uses less digits than its factorization.

230112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450985 (or 4450978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 230112202100 its reverse (1202211032), we get a palindrome (231314413132).

The spelling of 230112202100 in words is "two hundred thirty billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 4450913 8901826 17803652 22254565 44509130 48960043 89018260 97920086 111272825 195840172 209192911 222545650 244800215 418385822 445091300 489600430 836771644 979200860 1045964555 1224001075 2091929110 2301122021 2448002150 4183858220 4602244042 4896004300 5229822775 9204488084 10459645550 11505610105 20919291100 23011220210 46022440420 57528050525 115056101050 230112202100