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10310131131 = 379109399107
BaseRepresentation
bin10011001101000100…
…00001110110111011
3222121112022221001120
421212202001312323
5132103343144011
64423021520323
7513331445226
oct114642016673
928545287046
1010310131131
114410889133
121bb8a130a3
13c84024711
146db4125bd
1540521da06
hex266881dbb

10310131131 has 16 divisors (see below), whose sum is σ = 14048601600. Its totient is φ = 6724137888.

The previous prime is 10310131109. The next prime is 10310131147. The reversal of 10310131131 is 13113101301.

10310131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10310131131 - 27 = 10310131003 is a prime.

It is a super-2 number, since 2×103101311312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10310131131.

It is not an unprimeable number, because it can be changed into a prime (10310131331) 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, 173721 + ... + 225386.

It is an arithmetic number, because the mean of its divisors is an integer number (878037600).

Almost surely, 210310131131 is an apocalyptic number.

10310131131 is a deficient number, since it is larger than the sum of its proper divisors (3738470469).

10310131131 is a wasteful number, since it uses less digits than its factorization.

10310131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399298.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10310131131 its reverse (13113101301), we get a palindrome (23423232432).

The spelling of 10310131131 in words is "ten billion, three hundred ten million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 79 109 237 327 8611 25833 399107 1197321 31529453 43502663 94588359 130507989 3436710377 10310131131