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131332122504 = 233211331500977
BaseRepresentation
bin111101001010000000…
…0010010011110001000
3110112222202120002011100
41322110000102132020
54122432010410004
6140155543101400
712326350423302
oct1722400223610
9415882502140
10131332122504
1150774617520
1221552a41860
13c4ccb788bb
1464dc38c972
153639c9b739
hex1e94012788

131332122504 has 96 divisors (see below), whose sum is σ = 389199788640. Its totient is φ = 39677299200.

The previous prime is 131332122499. The next prime is 131332122539. The reversal of 131332122504 is 405221233131.

131332122504 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 32 + 122 + 504 = 666.

131332122504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11664 + ... + 512640.

It is an arithmetic number, because the mean of its divisors is an integer number (4054164465).

Almost surely, 2131332122504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131332122504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194599894320).

131332122504 is an abundant number, since it is smaller than the sum of its proper divisors (257867666136).

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

131332122504 is a wasteful number, since it uses less digits than its factorization.

131332122504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501331 (or 501324 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131332122504 its reverse (405221233131), we get a palindrome (536553355635).

The spelling of 131332122504 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 331 396 662 792 993 1324 1986 2648 2979 3641 3972 5958 7282 7944 10923 11916 14564 21846 23832 29128 32769 43692 65538 87384 131076 262152 500977 1001954 1502931 2003908 3005862 4007816 4508793 5510747 6011724 9017586 11021494 12023448 16532241 18035172 22042988 33064482 36070344 44085976 49596723 66128964 99193446 132257928 165823387 198386892 331646774 396773784 497470161 663293548 994940322 1326587096 1492410483 1824057257 1989880644 2984820966 3648114514 3979761288 5472171771 5969641932 7296229028 10944343542 11939283864 14592458056 16416515313 21888687084 32833030626 43777374168 65666061252 131332122504