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13102220131 = 7112137971493
BaseRepresentation
bin11000011001111010…
…00000001101100011
31020211010010202010021
430030331000031203
5203313132021011
610004042014311
7642454014340
oct141475001543
936733122107
1013102220131
115613952a00
122657aa7397
13130a611ba0
148c41777c7
1551a3e4471
hex30cf40363

13102220131 has 48 divisors (see below), whose sum is σ = 17759189952. Its totient is φ = 9406045440.

The previous prime is 13102220113. The next prime is 13102220141.

13102220131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13102220131 - 27 = 13102220003 is a prime.

It is a super-2 number, since 2×131022201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13102220141) 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, 8775021 + ... + 8776513.

It is an arithmetic number, because the mean of its divisors is an integer number (369983124).

Almost surely, 213102220131 is an apocalyptic number.

13102220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13102220131 is a deficient number, since it is larger than the sum of its proper divisors (4656969821).

13102220131 is a wasteful number, since it uses less digits than its factorization.

13102220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 13102220131 in words is "thirteen billion, one hundred two million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 797 847 1001 1493 1573 5579 8767 10361 10451 11011 16423 19409 61369 72527 96437 113971 114961 135863 180653 213499 675059 797797 1189921 1253681 1264571 1494493 2348489 8329447 8775767 13089131 15468973 16439423 91623917 108282811 143980441 170158703 1007863087 1191110921 1871745733 13102220131