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131353412345532 = 223213280669684499
BaseRepresentation
bin11101110111011100011001…
…011110111001111010111100
3122020002021010011010000200200
4131313130121132321322330
5114204043242030024112
61143210531413323500
736444654002632146
oct3567343136717274
9566067104100620
10131353412345532
113894273a990143
1212895208036590
13583a75c3784c0
142461779339c96
15102bc0c708cdc
hex7777197b9ebc

131353412345532 has 36 divisors (see below), whose sum is σ = 357573178053000. Its totient is φ = 40416434567712.

The previous prime is 131353412345521. The next prime is 131353412345543. The reversal of 131353412345532 is 235543214353131.

131353412345532 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 53 + 4 + 1 + 23 + 45 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (131353412345521) and next prime (131353412345543).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140334841782 + ... + 140334842717.

It is an arithmetic number, because the mean of its divisors is an integer number (9932588279250).

Almost surely, 2131353412345532 is an apocalyptic number.

131353412345532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131353412345532 is an abundant number, since it is smaller than the sum of its proper divisors (226219765707468).

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

131353412345532 is a wasteful number, since it uses less digits than its factorization.

131353412345532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280669684522 (or 280669684517 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

Adding to 131353412345532 its reverse (235543214353131), we get a palindrome (366896626698663).

The spelling of 131353412345532 in words is "one hundred thirty-one trillion, three hundred fifty-three billion, four hundred twelve million, three hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 280669684499 561339368998 842009053497 1122678737996 1684018106994 2526027160491 3368036213988 3648705898487 5052054320982 7297411796974 10104108641964 10946117695461 14594823593948 21892235390922 32838353086383 43784470781844 65676706172766 131353412345532