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131310020113002 = 232192811366360951
BaseRepresentation
bin11101110110110011111111…
…000110101011001001101010
3122012221010010001222012222100
4131312303333012223021222
5114202340410122104002
61143134553535234230
736441556465014453
oct3566637706531152
9565833101865870
10131310020113002
11389262a3121645
1212888918078976
13583663558c773
14245d62042412a
15102aa1d00111c
hex776cff1ab26a

131310020113002 has 48 divisors (see below), whose sum is σ = 300544755001920. Its totient is φ = 41318755128000.

The previous prime is 131310020112979. The next prime is 131310020113007. The reversal of 131310020113002 is 200311020013131.

131310020113002 is a `hidden beast` number, since 1 + 31 + 310 + 0 + 20 + 1 + 1 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131310020113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683084374 + ... + 683276577.

It is an arithmetic number, because the mean of its divisors is an integer number (6261349062540).

Almost surely, 2131310020113002 is an apocalyptic number.

131310020113002 is an abundant number, since it is smaller than the sum of its proper divisors (169234734888918).

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

131310020113002 is a wasteful number, since it uses less digits than its factorization.

131310020113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366361259 (or 1366361256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131310020113002 its reverse (200311020013131), we get a palindrome (331621040126133).

The spelling of 131310020113002 in words is "one hundred thirty-one trillion, three hundred ten billion, twenty million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 281 342 562 843 1686 2529 5058 5339 10678 16017 32034 48051 96102 1366360951 2732721902 4099082853 8198165706 12297248559 24594497118 25960858069 51921716138 77882574207 155765148414 233647722621 383947427231 467295445242 767894854462 1151842281693 2303684563386 3455526845079 6911053690158 7295001117389 14590002234778 21885003352167 43770006704334 65655010056501 131310020113002