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125002316131 = 71111314996419
BaseRepresentation
bin111010001101010110…
…1111111100101100011
3102221122121220121012021
41310122231333211203
54022001043104011
6133231505242311
712013450104310
oct1643255774543
9387577817167
10125002316131
1149016604290
1220287033397
13ba31677244
14609b84bd07
1533b9218471
hex1d1ab7f963

125002316131 has 32 divisors (see below), whose sum is σ = 158283072000. Its totient is φ = 95893486080.

The previous prime is 125002316129. The next prime is 125002316143. The reversal of 125002316131 is 131613200521.

It is a happy number.

It is not a de Polignac number, because 125002316131 - 21 = 125002316129 is a prime.

It is a super-2 number, since 2×1250023161312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125002316096 and 125002316105.

It is not an unprimeable number, because it can be changed into a prime (125002316171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248240 + ... + 1344658.

It is an arithmetic number, because the mean of its divisors is an integer number (4946346000).

Almost surely, 2125002316131 is an apocalyptic number.

125002316131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125002316131 is a deficient number, since it is larger than the sum of its proper divisors (33280755869).

125002316131 is a wasteful number, since it uses less digits than its factorization.

125002316131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96699.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 125002316131 its reverse (131613200521), we get a palindrome (256615516652).

The spelling of 125002316131 in words is "one hundred twenty-five billion, two million, three hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 7 11 77 113 149 791 1043 1243 1639 8701 11473 16837 96419 117859 185207 674933 1060609 1296449 7424263 10895347 14366431 76267429 100565017 119848817 158030741 838941719 1106215187 1623406703 11363846921 17857473733 125002316131