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10013122131 = 341283307937
BaseRepresentation
bin10010101001101010…
…00001111001010011
3221211211110022022020
421110311001321103
5131001324402011
64333331542523
7503064063615
oct112465017123
927754408266
1010013122131
114279167951
121b3545aa43
13c3763314c
146adbbadb5
153d9101006
hex254d41e53

10013122131 has 32 divisors (see below), whose sum is σ = 13784187648. Its totient is φ = 6461544960.

The previous prime is 10013122103. The next prime is 10013122181. The reversal of 10013122131 is 13122131001.

It is a happy number.

It is not a de Polignac number, because 10013122131 - 221 = 10011024979 is a prime.

It is a super-2 number, since 2×100131221312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10013122131.

It is not an unprimeable number, because it can be changed into a prime (10013122181) 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, 10685895 + ... + 10686831.

It is an arithmetic number, because the mean of its divisors is an integer number (430755864).

Almost surely, 210013122131 is an apocalyptic number.

10013122131 is a deficient number, since it is larger than the sum of its proper divisors (3771065517).

10013122131 is a wasteful number, since it uses less digits than its factorization.

10013122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10013122131 its reverse (13122131001), we get a palindrome (23135253132).

The spelling of 10013122131 in words is "ten billion, thirteen million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 41 123 283 307 849 921 937 2811 11603 12587 34809 37761 38417 86881 115251 260643 265171 287659 795513 862977 3562121 10686363 10872011 11794019 32616033 35382057 81407497 244222491 3337707377 10013122131