Search a number
-
+
131030762031 = 32132938617967
BaseRepresentation
bin111101000001000001…
…0101100001000101111
3110112012202111101022100
41322002002230020233
54121322333341111
6140110015550143
712316031046321
oct1720202541057
9415182441270
10131030762031
115062a4a3984
1221489b2b353
13c4825c27b0
1464b0343611
15361d5be756
hex1e820ac22f

131030762031 has 24 divisors (see below), whose sum is σ = 210854105280. Its totient is φ = 77853819456.

The previous prime is 131030762029. The next prime is 131030762053. The reversal of 131030762031 is 130267030131.

131030762031 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 0 + 7 + 620 + 31 = 666.

It is not a de Polignac number, because 131030762031 - 21 = 131030762029 is a prime.

It is a super-2 number, since 2×1310307620312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131030761986 and 131030762004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131030762231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19305591 + ... + 19312376.

It is an arithmetic number, because the mean of its divisors is an integer number (8785587720).

Almost surely, 2131030762031 is an apocalyptic number.

131030762031 is a deficient number, since it is larger than the sum of its proper divisors (79823343249).

131030762031 is a wasteful number, since it uses less digits than its factorization.

131030762031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38618015 (or 38618012 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 131030762031 its reverse (130267030131), we get a palindrome (261297792162).

The spelling of 131030762031 in words is "one hundred thirty-one billion, thirty million, seven hundred sixty-two thousand, thirty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 38617967 115853901 347561703 502033571 1119921043 1506100713 3359763129 4518302139 10079289387 14558973559 43676920677 131030762031