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33130131323232 = 253345105534617
BaseRepresentation
bin1111000100001101101011…
…01101010111100101100000
311100022012122211000012011110
413202012311231113211200
513320301002104320412
6154243434444343320
76656400352552236
oct742066555274540
9140265584005143
1033130131323232
11a613456481a59
123870a11b44b40
131564209103818
14827714d74956
153c6bcdb71d3c
hex1e21b5b57960

33130131323232 has 24 divisors (see below), whose sum is σ = 86966594723736. Its totient is φ = 11043377107712.

The previous prime is 33130131323209. The next prime is 33130131323347. The reversal of 33130131323232 is 23232313103133.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×331301313232322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33130131323232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172552767213 + ... + 172552767404.

It is an arithmetic number, because the mean of its divisors is an integer number (3623608113489).

Almost surely, 233130131323232 is an apocalyptic number.

33130131323232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33130131323232 is an abundant number, since it is smaller than the sum of its proper divisors (53836463400504).

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

33130131323232 is a wasteful number, since it uses less digits than its factorization.

33130131323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345105534630 (or 345105534622 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 33130131323232 its reverse (23232313103133), we get a palindrome (56362444426365).

The spelling of 33130131323232 in words is "thirty-three trillion, one hundred thirty billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 345105534617 690211069234 1035316603851 1380422138468 2070633207702 2760844276936 4141266415404 5521688553872 8282532830808 11043377107744 16565065661616 33130131323232