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10120031129 = 132157381413
BaseRepresentation
bin10010110110011001…
…10110101110011001
3222010021121211212202
421123030312232121
5131211211444004
64352111215545
7505532562635
oct113314665631
928107554782
1010120031129
11432354819a
121b652175b5
13c53825600
146c0089dc5
153e36bcb1e
hex25b336b99

10120031129 has 12 divisors (see below), whose sum is σ = 11028204396. Its totient is φ = 9282042432.

The previous prime is 10120031111. The next prime is 10120031143. The reversal of 10120031129 is 92113002101.

It can be written as a sum of positive squares in 6 ways, for example, as 3736021129 + 6384010000 = 61123^2 + 79900^2 .

It is not a de Polignac number, because 10120031129 - 212 = 10120027033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120031129.

It is not an unprimeable number, because it can be changed into a prime (10120031029) 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 11 ways as a sum of consecutive naturals, for example, 164174 + ... + 217239.

It is an arithmetic number, because the mean of its divisors is an integer number (919017033).

Almost surely, 210120031129 is an apocalyptic number.

It is an amenable number.

10120031129 is a deficient number, since it is larger than the sum of its proper divisors (908173267).

10120031129 is a wasteful number, since it uses less digits than its factorization.

10120031129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381596 (or 381583 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10120031129 in words is "ten billion, one hundred twenty million, thirty-one thousand, one hundred twenty-nine".

Divisors: 1 13 157 169 2041 26533 381413 4958369 59881841 64458797 778463933 10120031129