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10032131124234 = 232557340618013
BaseRepresentation
bin1001000111111100100110…
…0111001010110000001010
31022112001200110121111001200
42101333021213022300022
52303331301031433414
633200410350325030
72053540363400322
oct221771147126012
938461613544050
1010032131124234
11321866a53424a
1211603644b9776
1357a044bb807b
142697b4606282
15125e5abd1109
hex91fc99cac0a

10032131124234 has 12 divisors (see below), whose sum is σ = 21736284102546. Its totient is φ = 3344043708072.

The previous prime is 10032131124229. The next prime is 10032131124247. The reversal of 10032131124234 is 43242113123001.

10032131124234 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 311 + 2 + 4 + 23 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7738950918609 + 2293180205625 = 2781897^2 + 1514325^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10032131124198 and 10032131124207.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278670308989 + ... + 278670309024.

Almost surely, 210032131124234 is an apocalyptic number.

10032131124234 is an abundant number, since it is smaller than the sum of its proper divisors (11704152978312).

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

10032131124234 is a wasteful number, since it uses less digits than its factorization.

10032131124234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557340618021 (or 557340618018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10032131124234 its reverse (43242113123001), we get a palindrome (53274244247235).

The spelling of 10032131124234 in words is "ten trillion, thirty-two billion, one hundred thirty-one million, one hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 557340618013 1114681236026 1672021854039 3344043708078 5016065562117 10032131124234