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131302302131 = 72111325327197
BaseRepresentation
bin111101001001000111…
…0100010000110110011
3110112220200110001022002
41322102032202012303
54122401342132011
6140153000004215
712325536103400
oct1722216420663
9415820401262
10131302302131
11507597a9a90
1221544a6066b
13c4c6937600
1464d84292a7
15363735ac3b
hex1e923a21b3

131302302131 has 72 divisors (see below), whose sum is σ = 183839115024. Its totient is φ = 92657859840.

The previous prime is 131302302119. The next prime is 131302302167. The reversal of 131302302131 is 131203203131.

It is not a de Polignac number, because 131302302131 - 222 = 131298107827 is a prime.

It is a super-2 number, since 2×1313023021312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131302302031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4814225 + ... + 4841421.

It is an arithmetic number, because the mean of its divisors is an integer number (2553321042).

Almost surely, 2131302302131 is an apocalyptic number.

131302302131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131302302131 is a deficient number, since it is larger than the sum of its proper divisors (52536812893).

131302302131 is a wasteful number, since it uses less digits than its factorization.

131302302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27301 (or 27281 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131302302131 its reverse (131203203131), we get a palindrome (262505505262).

The spelling of 131302302131 in words is "one hundred thirty-one billion, three hundred two million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 49 53 77 91 143 169 371 539 583 637 689 1001 1183 1859 2597 4081 4823 7007 7579 8281 8957 13013 27197 28567 33761 53053 62699 91091 98527 190379 299167 353561 371371 438893 689689 1332653 1441441 2094169 2474927 3889171 4596293 4827823 10090087 14659183 15855851 17324489 18738733 27224197 32174051 50559223 70630609 110990957 131171131 190569379 206126063 225218357 243603529 353914561 776936699 918197917 1442882441 1705224703 2477401927 2679638819 10100177087 11936572921 18757471733 131302302131