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10131251031 = 3211176019757
BaseRepresentation
bin10010110111101111…
…01001111101010111
3222011001201212200200
421123313221331113
5131222100013111
64353151511543
7506030133006
oct113367517527
928131655620
1010131251031
114329910940
121b68b285b3
13c55c534c5
146c176ac3d
153e4687256
hex25bde9f57

10131251031 has 24 divisors (see below), whose sum is σ = 16903480464. Its totient is φ = 5778965760.

The previous prime is 10131250999. The next prime is 10131251047. The reversal of 10131251031 is 13015213101.

It is not a de Polignac number, because 10131251031 - 25 = 10131250999 is a prime.

It is a super-2 number, since 2×101312510312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131250995 and 10131251013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131251731) 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 23 ways as a sum of consecutive naturals, for example, 3008196 + ... + 3011561.

It is an arithmetic number, because the mean of its divisors is an integer number (704311686).

Almost surely, 210131251031 is an apocalyptic number.

10131251031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131251031 is a deficient number, since it is larger than the sum of its proper divisors (6772229433).

10131251031 is a wasteful number, since it uses less digits than its factorization.

10131251031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019791 (or 6019788 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10131251031 its reverse (13015213101), we get a palindrome (23146464132).

It can be divided in two parts, 10131 and 251031, that added together give a palindrome (261162).

The spelling of 10131251031 in words is "ten billion, one hundred thirty-one million, two hundred fifty-one thousand, thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 6019757 18059271 54177813 66217327 102335869 198651981 307007607 595955943 921022821 1125694559 3377083677 10131251031