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10031012129 = 171573758341
BaseRepresentation
bin10010101011110010…
…10001100100100001
3221220002010012202202
421111321101210201
5131020414342004
64335211222545
7503402124215
oct112571214441
927802105682
1010031012129
114288276976
121b3b447a55
13c3b258048
146b2316945
153da986b1e
hex255e51921

10031012129 has 8 divisors (see below), whose sum is σ = 10688724648. Its totient is φ = 9380816640.

The previous prime is 10031012111. The next prime is 10031012143. The reversal of 10031012129 is 92121013001.

It can be written as a sum of positive squares in 4 ways, for example, as 2158531600 + 7872480529 = 46460^2 + 88727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10031012129 - 224 = 10014234913 is a prime.

It is a super-2 number, since 2×100310121292 (a number of 21 digits) contains 22 as substring.

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 10031012129.

It is not an unprimeable number, because it can be changed into a prime (10031012029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1876502 + ... + 1881839.

It is an arithmetic number, because the mean of its divisors is an integer number (1336090581).

Almost surely, 210031012129 is an apocalyptic number.

It is an amenable number.

10031012129 is a deficient number, since it is larger than the sum of its proper divisors (657712519).

10031012129 is a wasteful number, since it uses less digits than its factorization.

10031012129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758515.

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

The spelling of 10031012129 in words is "ten billion, thirty-one million, twelve thousand, one hundred twenty-nine".

Divisors: 1 17 157 2669 3758341 63891797 590059537 10031012129