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230132112100 = 225211709295079
BaseRepresentation
bin1101011001010011110…
…0010101101011100100
3211000000022011120121021
43112110330111223210
512232302310041400
6253415441500524
722424613451222
oct3262474255344
9730008146537
10230132112100
1189664639a90
1238726941744
1318916b8c1c7
14b1d1cb9b12
155ebd99771a
hex3594f15ae4

230132112100 has 72 divisors (see below), whose sum is σ = 545555707200. Its totient is φ = 83566089600.

The previous prime is 230132112061. The next prime is 230132112101. The reversal of 230132112100 is 1211231032.

It is not an unprimeable number, because it can be changed into a prime (230132112101) 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, 632361 + ... + 927439.

It is an arithmetic number, because the mean of its divisors is an integer number (7577162600).

Almost surely, 2230132112100 is an apocalyptic number.

230132112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230132112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272777853600).

230132112100 is an abundant number, since it is smaller than the sum of its proper divisors (315423595100).

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

230132112100 is a wasteful number, since it uses less digits than its factorization.

230132112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295813 (or 295806 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 230132112100 its reverse (1211231032), we get a palindrome (231343343132).

The spelling of 230132112100 in words is "two hundred thirty billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 709 1100 1418 2836 3545 7090 7799 14180 15598 17725 31196 35450 38995 70900 77990 155980 194975 295079 389950 590158 779900 1180316 1475395 2950790 3245869 5901580 6491738 7376975 12983476 14753950 16229345 29507900 32458690 64917380 81146725 162293450 209211011 324586900 418422022 836844044 1046055055 2092110110 2301321121 4184220220 4602642242 5230275275 9205284484 10460550550 11506605605 20921101100 23013211210 46026422420 57533028025 115066056050 230132112100