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131021344311 = 311132771102567
BaseRepresentation
bin111101000000101111…
…0110000111000110111
3110112012002202220121220
41322001132300320313
54121312431004221
6140105042041423
712315555023364
oct1720136607067
9415162686556
10131021344311
1150625151240
1221486949273
13c480675c90
1464acdb146b
15361c85e0c6
hex1e817b0e37

131021344311 has 32 divisors (see below), whose sum is σ = 205977343488. Its totient is φ = 73033971840.

The previous prime is 131021344297. The next prime is 131021344331. The reversal of 131021344311 is 113443120131.

It is a happy number.

It is not a de Polignac number, because 131021344311 - 27 = 131021344183 is a prime.

It is a super-2 number, since 2×1310213443112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021344331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432451 + ... + 670116.

It is an arithmetic number, because the mean of its divisors is an integer number (6436791984).

Almost surely, 2131021344311 is an apocalyptic number.

131021344311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131021344311 is a deficient number, since it is larger than the sum of its proper divisors (74955999177).

131021344311 is a wasteful number, since it uses less digits than its factorization.

131021344311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102871.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131021344311 its reverse (113443120131), we get a palindrome (244464464442).

The spelling of 131021344311 in words is "one hundred thirty-one billion, twenty-one million, three hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 11 13 33 39 143 277 429 831 3047 3601 9141 10803 39611 118833 1102567 3307701 12128237 14333371 36384711 43000113 157667081 305411059 473001243 916233177 3359521649 3970343767 10078564947 11911031301 43673781437 131021344311