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131311100200302 = 232111934904598671
BaseRepresentation
bin11101110110110100111111…
…011110111000010101101110
3122012221012220100100100012200
4131312310333132320111232
5114202400113122402202
61143135253041242330
736441625321424151
oct3566647736702556
9565835810310180
10131311100200302
11389267a7876180
1212888b799333a6
13583677828a989
14245d6c3a5bc98
15102aa82c51e1c
hex776d3f7b856e

131311100200302 has 48 divisors (see below), whose sum is σ = 326707043569920. Its totient is φ = 37696966563600.

The previous prime is 131311100200277. The next prime is 131311100200307. The reversal of 131311100200302 is 203002001113131.

131311100200302 is a `hidden beast` number, since 1 + 31 + 31 + 1 + 100 + 200 + 302 = 666.

It is a super-4 number, since 4×1313111002003024 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311100200307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17452295574 + ... + 17452303097.

It is an arithmetic number, because the mean of its divisors is an integer number (6806396741040).

Almost surely, 2131311100200302 is an apocalyptic number.

131311100200302 is an abundant number, since it is smaller than the sum of its proper divisors (195395943369618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311100200302 is a wasteful number, since it uses less digits than its factorization.

131311100200302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34904598709 (or 34904598706 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131311100200302 its reverse (203002001113131), we get a palindrome (334313101313433).

The spelling of 131311100200302 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred million, two hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 34904598671 69809197342 104713796013 209427592026 314141388039 383950585381 628282776078 663187374749 767901170762 1151851756143 1326374749498 1989562124247 2303703512286 3455555268429 3979124248494 5968686372741 6911110536858 7295061122239 11937372745482 14590122244478 21885183366717 43770366733434 65655550100151 131311100200302