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10311201131 = 711177877159
BaseRepresentation
bin10011001101001100…
…00111000101101011
3222121121100021211012
421212212013011223
5132104131414011
64423100454135
7513343522610
oct114646070553
928547307735
1010311201131
11441144a030
121bb924a34b
13c8430a75a
146db610507
15405380a8b
hex26698716b

10311201131 has 16 divisors (see below), whose sum is σ = 13611732480. Its totient is φ = 7562071680.

The previous prime is 10311201127. The next prime is 10311201149. The reversal of 10311201131 is 13110211301.

It is a happy number.

10311201131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10311201131 - 22 = 10311201127 is a prime.

It is a super-2 number, since 2×103112011312 (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 (10311201191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3937271 + ... + 3939888.

It is an arithmetic number, because the mean of its divisors is an integer number (850733280).

Almost surely, 210311201131 is an apocalyptic number.

10311201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10311201131 is a deficient number, since it is larger than the sum of its proper divisors (3300531349).

10311201131 is a wasteful number, since it uses less digits than its factorization.

10311201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877194.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10311201131 its reverse (13110211301), we get a palindrome (23421412432).

The spelling of 10311201131 in words is "ten billion, three hundred eleven million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 7 11 17 77 119 187 1309 7877159 55140113 86648749 133911703 606541243 937381921 1473028733 10311201131