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131002140012 = 223173591788767
BaseRepresentation
bin111101000000001010…
…1100000010101101100
3110112010202122020021120
41322000111200111230
54121243021440022
6140103114300540
712315232550232
oct1720025402554
9415122566246
10131002140012
1150615324817
1221480427750
13c4796b0aa3
1464aa612952
15361ad18d5c
hex1e8056056c

131002140012 has 48 divisors (see below), whose sum is σ = 324554065920. Its totient is φ = 40984206592.

The previous prime is 131002139993. The next prime is 131002140041. The reversal of 131002140012 is 210041200131.

131002140012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131002139973 and 131002140000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821148 + ... + 967619.

It is an arithmetic number, because the mean of its divisors is an integer number (6761543040).

Almost surely, 2131002140012 is an apocalyptic number.

131002140012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131002140012 is an abundant number, since it is smaller than the sum of its proper divisors (193551925908).

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

131002140012 is a wasteful number, since it uses less digits than its factorization.

131002140012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789150 (or 1789148 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131002140012 its reverse (210041200131), we get a palindrome (341043340143).

The spelling of 131002140012 in words is "one hundred thirty-one billion, two million, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 359 718 1077 1436 2154 4308 6103 12206 18309 24412 36618 73236 1788767 3577534 5366301 7155068 10732602 21465204 30409039 60818078 91227117 121636156 182454234 364908468 642167353 1284334706 1926502059 2568669412 3853004118 7706008236 10916845001 21833690002 32750535003 43667380004 65501070006 131002140012