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131033335008 = 2533184742859
BaseRepresentation
bin111101000001000110…
…0100000010011100000
3110112012221100002202210
41322002030200103200
54121324013210013
6140110151042120
712316061653602
oct1720214402340
9415187302683
10131033335008
11506309a1004
122148a970340
13c482cb3974
1464b0813172
15361d92bcc3
hex1e823204e0

131033335008 has 48 divisors (see below), whose sum is σ = 343981330560. Its totient is φ = 43675387776.

The previous prime is 131033335001. The next prime is 131033335009. The reversal of 131033335008 is 800533330131.

131033335008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033335001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3035883 + ... + 3078741.

It is an arithmetic number, because the mean of its divisors is an integer number (7166277720).

Almost surely, 2131033335008 is an apocalyptic number.

It is an amenable number.

131033335008 is an abundant number, since it is smaller than the sum of its proper divisors (212947995552).

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

131033335008 is a wasteful number, since it uses less digits than its factorization.

131033335008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74719 (or 74711 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 131033335008 its reverse (800533330131), we get a palindrome (931566665139).

The spelling of 131033335008 in words is "one hundred thirty-one billion, thirty-three million, three hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 31847 42859 63694 85718 95541 127388 128577 171436 191082 254776 257154 342872 382164 509552 514308 685744 764328 1019104 1028616 1371488 1528656 2057232 3057312 4114464 1364930573 2729861146 4094791719 5459722292 8189583438 10919444584 16379166876 21838889168 32758333752 43677778336 65516667504 131033335008