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131031323313111 = 32136747269353621
BaseRepresentation
bin11101110010110000011011…
…011110110000001111010111
3122011221110202012202212221200
4131302300123132300033113
5114133304122232004421
61142402543043443543
736412462225215204
oct3562603336601727
9564843665685850
10131031323313111
1138829088037951
12128428b90865b3
13581627c124210
14244dd426bccab
15102365abd1726
hex772c1b7b03d7

131031323313111 has 48 divisors (see below), whose sum is σ = 206873650969440. Its totient is φ = 79429253080320.

The previous prime is 131031323313109. The next prime is 131031323313113. The reversal of 131031323313111 is 111313323130131.

131031323313111 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 13 + 2 + 331 + 311 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131031323313109) and next prime (131031323313113).

It is not a de Polignac number, because 131031323313111 - 21 = 131031323313109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031323313113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370364881 + ... + 370718501.

It is an arithmetic number, because the mean of its divisors is an integer number (4309867728530).

Almost surely, 2131031323313111 is an apocalyptic number.

131031323313111 is a deficient number, since it is larger than the sum of its proper divisors (75842327656329).

131031323313111 is a wasteful number, since it uses less digits than its factorization.

131031323313111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400976 (or 400973 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 131031323313111 its reverse (111313323130131), we get a palindrome (242344646443242).

The spelling of 131031323313111 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 7839 47269 141807 353621 425421 614497 1060863 1843491 3167023 3182589 4597073 5530473 9501069 13791219 23692607 28503207 41171299 41373657 71077821 123513897 213233463 308003891 370541691 924011673 2772035019 16715311049 50145933147 150437799441 217299043637 651897130911 1119925840283 1955691392733 3359777520849 10079332562547 14559035923679 43677107771037 131031323313111