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125012640213 = 32291016916863
BaseRepresentation
bin111010001101101010…
…1011000000111010101
3102221200100100010011200
41310123111120013111
54022011213441323
6133232514423113
712013633623546
oct1643325300725
9387610303150
10125012640213
114902141598a
122028a591a99
13ba33850476
14609cd784cd
1533ba0a7443
hex1d1b5581d5

125012640213 has 48 divisors (see below), whose sum is σ = 188950544640. Its totient is φ = 79544304000.

The previous prime is 125012640149. The next prime is 125012640239. The reversal of 125012640213 is 312046210521.

125012640213 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 1 + 2 + 640 + 2 + 13 = 666.

It is not a de Polignac number, because 125012640213 - 26 = 125012640149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125012640253) 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 47 ways as a sum of consecutive naturals, for example, 18212020 + ... + 18218882.

It is an arithmetic number, because the mean of its divisors is an integer number (3936469680).

Almost surely, 2125012640213 is an apocalyptic number.

It is an amenable number.

125012640213 is a deficient number, since it is larger than the sum of its proper divisors (63937904427).

125012640213 is a wasteful number, since it uses less digits than its factorization.

125012640213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 125012640213 its reverse (312046210521), we get a palindrome (437058850734).

The spelling of 125012640213 in words is "one hundred twenty-five billion, twelve million, six hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 29 87 101 261 303 691 909 2073 2929 6219 6863 8787 20039 20589 26361 60117 61767 69791 180351 199027 209373 597081 628119 693163 1791243 2023939 2079489 4742333 6071817 6238467 14226999 18215451 20101727 42680997 60305181 137527657 180915543 412582971 478975633 1237748913 1436926899 4310780697 13890293357 41670880071 125012640213