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10131131131 = 111997946099
BaseRepresentation
bin10010110111101110…
…01100101011111011
3222011001111210012221
421123313030223323
5131222032144011
64353145144511
7506026123312
oct113367145373
928131453187
1010131131131
114329839850
121b68a8b137
13c55c10a64
146c1739279
153e4661971
hex25bdccafb

10131131131 has 8 divisors (see below), whose sum is σ = 11052936000. Its totient is φ = 9209458440.

The previous prime is 10131131117. The next prime is 10131131141. The reversal of 10131131131 is 13113113101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131131131 - 25 = 10131131099 is a prime.

It is a super-2 number, since 2×101311311312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131131141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196720 + ... + 242818.

It is an arithmetic number, because the mean of its divisors is an integer number (1381617000).

Almost surely, 210131131131 is an apocalyptic number.

10131131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131131131 is a deficient number, since it is larger than the sum of its proper divisors (921804869).

10131131131 is a wasteful number, since it uses less digits than its factorization.

10131131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66089.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 10131131131 its reverse (13113113101), we get a palindrome (23244244232).

The spelling of 10131131131 in words is "ten billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 19979 46099 219769 507089 921011921 10131131131