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131564272149 = 3231227156131
BaseRepresentation
bin111101010000111010…
…1110111101000010101
3110120120221101111121100
41322201311313220111
54123420423202044
6140234554540313
712335166601362
oct1724165675025
9416527344540
10131564272149
1150883668a32
12215b8737699
13c538cab45b
14652113d469
153650356869
hex1ea1d77a15

131564272149 has 36 divisors (see below), whose sum is σ = 197093372736. Its totient is φ = 84565458000.

The previous prime is 131564272141. The next prime is 131564272183. The reversal of 131564272149 is 941272465131.

131564272149 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 427 + 214 + 9 = 666.

It is not a de Polignac number, because 131564272149 - 23 = 131564272141 is a prime.

It is a super-2 number, since 2×1315642721492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131564272141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2315814 + ... + 2371944.

Almost surely, 2131564272149 is an apocalyptic number.

It is an amenable number.

131564272149 is a deficient number, since it is larger than the sum of its proper divisors (65529100587).

131564272149 is a wasteful number, since it uses less digits than its factorization.

131564272149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56470 (or 56436 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 131564272149 in words is "one hundred thirty-one billion, five hundred sixty-four million, two hundred seventy-two thousand, one hundred forty-nine".

Divisors: 1 3 9 31 93 271 279 813 961 2439 2883 8401 8649 25203 56131 75609 168393 260431 505179 781293 1740061 2343879 5220183 15211501 15660549 45634503 53941891 136903509 161825673 471556531 485477019 1414669593 4244008779 14618252461 43854757383 131564272149