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123130131021012 = 223419101663240883
BaseRepresentation
bin11011111111110001110111…
…101110000111110011010100
3121010222010101112112010001110
4123333301313232013303110
5112114331002020133022
61113513111251455020
734635600300651123
oct3377616756076324
9533863345463043
10123130131021012
1136262216a69045
121198753b8b7470
13539217701680b
14225975c9b9aba
15e37d6d48e00c
hex6ffc77b87cd4

123130131021012 has 48 divisors (see below), whose sum is σ = 287993356277760. Its totient is φ = 40944848718048.

The previous prime is 123130131020993. The next prime is 123130131021017. The reversal of 123130131021012 is 210120131031321.

It is a super-2 number, since 2×1231301310210122 (a number of 29 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 123130131021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130131021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511041123 + ... + 511282005.

It is an arithmetic number, because the mean of its divisors is an integer number (5999861589120).

Almost surely, 2123130131021012 is an apocalyptic number.

123130131021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130131021012 is an abundant number, since it is smaller than the sum of its proper divisors (164863225256748).

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

123130131021012 is a wasteful number, since it uses less digits than its factorization.

123130131021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342972 (or 342970 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 123130131021012 its reverse (210120131031321), we get a palindrome (333250262052333).

The spelling of 123130131021012 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 419 838 1257 1676 2514 5028 101663 203326 240883 304989 406652 481766 609978 722649 963532 1219956 1445298 2890596 42596797 85193594 100929977 127790391 170387188 201859954 255580782 302789931 403719908 511161564 605579862 1211159724 24488888429 48977776858 73466665287 97955553716 146933330574 293866661148 10260844251751 20521688503502 30782532755253 41043377007004 61565065510506 123130131021012