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131403352352311 = 134161107161323417
BaseRepresentation
bin11101111000001010111010…
…001000111010011000110111
3122020021001000120001020002101
4131320022322020322120313
5114210403031200233221
61143245511113122531
736451402365656434
oct3570127210723067
9566231016036071
10131403352352311
11389619377a7416
12128a2a249b9447
13584238a871380
142463d55ad0b8b
15102d181b9cd91
hex7782ba23a637

131403352352311 has 64 divisors (see below), whose sum is σ = 148814792493696. Its totient is φ = 115232796057600.

The previous prime is 131403352352291. The next prime is 131403352352383. The reversal of 131403352352311 is 113253253304131.

It is not a de Polignac number, because 131403352352311 - 221 = 131403350255159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403350352311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5611439475 + ... + 5611462891.

It is an arithmetic number, because the mean of its divisors is an integer number (2325231132714).

Almost surely, 2131403352352311 is an apocalyptic number.

131403352352311 is a deficient number, since it is larger than the sum of its proper divisors (17411440141385).

131403352352311 is a wasteful number, since it uses less digits than its factorization.

131403352352311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 131403352352311 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred fifty-two million, three hundred fifty-two thousand, three hundred eleven".

Divisors: 1 13 41 61 107 533 793 1391 1613 2501 4387 6527 20969 23417 32513 57031 66133 84851 98393 172591 267607 304421 859729 960097 1279109 1428437 2243683 2505619 3478891 4034113 7076231 10528051 12481261 18569681 32573047 37771621 52443469 58565917 91991003 102730379 136864663 152842759 431650091 491031073 761356921 1335494927 1548636461 1986955867 2304068881 4041563447 5611451183 6266553119 20132273993 29952895453 52540324811 81465190547 94466824121 165704101327 246535370267 1228068713573 2154153317251 3204959813471 10107950180947 131403352352311