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10010012131 = 7171013892141
BaseRepresentation
bin10010101001010010…
…01010100111100011
3221211121121022012001
421110221022213203
5131000030342011
64333141144431
7503025461560
oct112451124743
927747538161
1010010012131
1142774332a9
121b343bb117
13c36ab4702
146ad60b867
153d8bd97c1
hex254a4a9e3

10010012131 has 32 divisors (see below), whose sum is σ = 12270061440. Its totient is φ = 7971072000.

The previous prime is 10010012119. The next prime is 10010012149. The reversal of 10010012131 is 13121001001.

It is a cyclic number.

It is not a de Polignac number, because 10010012131 - 29 = 10010011619 is a prime.

It is a super-2 number, since 2×100100121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010012431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4674321 + ... + 4676461.

It is an arithmetic number, because the mean of its divisors is an integer number (383439420).

Almost surely, 210010012131 is an apocalyptic number.

10010012131 is a deficient number, since it is larger than the sum of its proper divisors (2260049309).

10010012131 is a wasteful number, since it uses less digits than its factorization.

10010012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010012131 its reverse (13121001001), we get a palindrome (23131013132).

The spelling of 10010012131 in words is "ten billion, ten million, twelve thousand, one hundred thirty-one".

Divisors: 1 7 17 101 119 389 707 1717 2141 2723 6613 12019 14987 36397 39289 46291 216241 254779 275023 667913 832849 1513687 3676097 4675391 5829943 14158433 25732679 84117749 99109031 588824243 1430001733 10010012131