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107407044012 = 223127647108929
BaseRepresentation
bin110010000000111110…
…1010110110110101100
3101021020101022011110010
41210001331112312230
53224432200402022
6121201521413220
710521434545002
oct1440175266654
9337211264403
10107407044012
1141607526984
121899649a210
13a189252218
1452aca96a72
152bd965950c
hex1901f56dac

107407044012 has 48 divisors (see below), whose sum is σ = 252982517760. Its totient is φ = 35465213952.

The previous prime is 107407044011. The next prime is 107407044037. The reversal of 107407044012 is 210440704701.

It is a super-2 number, since 2×1074070440122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107407044011) 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, 931564 + ... + 1040492.

It is an arithmetic number, because the mean of its divisors is an integer number (5270469120).

Almost surely, 2107407044012 is an apocalyptic number.

107407044012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107407044012 is an abundant number, since it is smaller than the sum of its proper divisors (145575473748).

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

107407044012 is a wasteful number, since it uses less digits than its factorization.

107407044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109710 (or 109708 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

Adding to 107407044012 its reverse (210440704701), we get a palindrome (317847748713).

The spelling of 107407044012 in words is "one hundred seven billion, four hundred seven million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 127 254 381 508 647 762 1294 1524 1941 2588 3882 7764 82169 108929 164338 217858 246507 326787 328676 435716 493014 653574 986028 1307148 13833983 27667966 41501949 55335932 70477063 83003898 140954126 166007796 211431189 281908252 422862378 845724756 8950587001 17901174002 26851761003 35802348004 53703522006 107407044012