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131020033002 = 23236311150439
BaseRepresentation
bin111101000000101100…
…1110000101111101010
3110112012000022021211220
41322001121300233222
54121312112024002
6140104554002510
712315540622335
oct1720131605752
9415160267756
10131020033002
1150624436011
1221486416436
13c480307161
1464acb4d61c
15361c6a07bc
hex1e81670bea

131020033002 has 32 divisors (see below), whose sum is σ = 273478256640. Its totient is φ = 41767606320.

The previous prime is 131020032991. The next prime is 131020033007. The reversal of 131020033002 is 200330020131.

131020033002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131020033007) 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 15 ways as a sum of consecutive naturals, for example, 795699 + ... + 946137.

It is an arithmetic number, because the mean of its divisors is an integer number (8546195520).

Almost surely, 2131020033002 is an apocalyptic number.

131020033002 is an abundant number, since it is smaller than the sum of its proper divisors (142458223638).

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

131020033002 is a wasteful number, since it uses less digits than its factorization.

131020033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156778.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131020033002 its reverse (200330020131), we get a palindrome (331350053133).

The spelling of 131020033002 in words is "one hundred thirty-one billion, twenty million, thirty-three thousand, two".

Divisors: 1 2 3 6 23 46 69 138 6311 12622 18933 37866 145153 150439 290306 300878 435459 451317 870918 902634 3460097 6920194 10380291 20760582 949420529 1898841058 2848261587 5696523174 21836672167 43673344334 65510016501 131020033002