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230134431032 = 23114755641787
BaseRepresentation
bin1101011001010100010…
…1001011110100111000
3211000000110112101120122
43112111011023310320
512232303403243112
6253420003312412
722424642250032
oct3262505136470
9730013471518
10230134431032
1189665983260
123872767b708
13189174c185c
14b1d2320c52
155ebdca4872
hex359514bd38

230134431032 has 32 divisors (see below), whose sum is σ = 480745048320. Its totient is φ = 102380886240.

The previous prime is 230134431031. The next prime is 230134431047.

230134431032 is nontrivially palindromic in base 10.

230134431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230134430992 and 230134431010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230134431031) 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 7 ways as a sum of consecutive naturals, for example, 27816758 + ... + 27825029.

It is an arithmetic number, because the mean of its divisors is an integer number (15023282760).

Almost surely, 2230134431032 is an apocalyptic number.

230134431032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230134431032 is an abundant number, since it is smaller than the sum of its proper divisors (250610617288).

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

230134431032 is a wasteful number, since it uses less digits than its factorization.

230134431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55641851 (or 55641847 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 230134 and 431032, that added together give a palindrome (661166).

The spelling of 230134431032 in words is "two hundred thirty billion, one hundred thirty-four million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 55641787 111283574 222567148 445134296 612059657 1224119314 2448238628 2615163989 4896477256 5230327978 10460655956 20921311912 28766803879 57533607758 115067215516 230134431032