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131302454364 = 223231891321961
BaseRepresentation
bin111101001001000111…
…1000111010001011100
3110112220200201210010100
41322102033013101130
54122401412014424
6140153003141100
712325540306254
oct1722217072134
9415820653110
10131302454364
11507598a33a4
1221544b14790
13c4c698b9a3
1464d8468964
15363738adc9
hex1e923c745c

131302454364 has 72 divisors (see below), whose sum is σ = 346459800960. Its totient is φ = 41879692800.

The previous prime is 131302454363. The next prime is 131302454369. The reversal of 131302454364 is 463454203131.

131302454364 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 24 + 543 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302454363) 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 23 ways as a sum of consecutive naturals, for example, 561657 + ... + 760304.

It is an arithmetic number, because the mean of its divisors is an integer number (4811941680).

Almost surely, 2131302454364 is an apocalyptic number.

It is an amenable number.

131302454364 is an abundant number, since it is smaller than the sum of its proper divisors (215157346596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131302454364 is a wasteful number, since it uses less digits than its factorization.

131302454364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322091 (or 1322086 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131302454364 its reverse (463454203131), we get a palindrome (594756657495).

The spelling of 131302454364 in words is "one hundred thirty-one billion, three hundred two million, four hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 801 1068 1116 1602 2759 3204 5518 8277 11036 16554 24831 33108 49662 99324 1321961 2643922 3965883 5287844 7931766 11897649 15863532 23795298 40980791 47590596 81961582 117654529 122942373 163923164 235309058 245884746 352963587 368827119 470618116 491769492 705927174 737654238 1058890761 1411854348 1475308476 2117781522 3647290399 4235563044 7294580798 10941871197 14589161596 21883742394 32825613591 43767484788 65651227182 131302454364