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131443241319 = 33132397732027
BaseRepresentation
bin111101001101010100…
…0001011000101100111
3110120021111122111112000
41322122220023011213
54123143432210234
6140214552500343
712332200054665
oct1723250130547
9416244574460
10131443241319
1150821312755
12215840aa6b3
13c519bb3290
14650d035c35
1536448ea899
hex1e9aa0b167

131443241319 has 64 divisors (see below), whose sum is σ = 210963916800. Its totient is φ = 80405813376.

The previous prime is 131443241311. The next prime is 131443241353. The reversal of 131443241319 is 913142344131.

131443241319 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 324 + 1 + 319 = 666.

It is not a de Polignac number, because 131443241319 - 23 = 131443241311 is a prime.

It is a super-2 number, since 2×1314432413192 (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 (131443241311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64845184 + ... + 64847210.

It is an arithmetic number, because the mean of its divisors is an integer number (3296311200).

Almost surely, 2131443241319 is an apocalyptic number.

131443241319 is a deficient number, since it is larger than the sum of its proper divisors (79520675481).

131443241319 is a wasteful number, since it uses less digits than its factorization.

131443241319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3055 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 131443241319 in words is "one hundred thirty-one billion, four hundred forty-three million, two hundred forty-one thousand, three hundred nineteen".

Divisors: 1 3 9 13 27 39 117 239 351 717 773 2027 2151 2319 3107 6081 6453 6957 9321 10049 18243 20871 26351 27963 30147 54729 79053 83889 90441 184747 237159 271323 484453 554241 711477 1453359 1566871 1662723 2401711 4360077 4700613 4988169 6297889 7205133 13080231 14101839 18893667 20369323 21615399 42305517 56681001 61107969 64846197 170043003 183323907 374482169 549971721 1123446507 3370339521 4868268197 10111018563 14604804591 43814413773 131443241319