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122431664145 = 3574572551457
BaseRepresentation
bin111001000000101111…
…1101111000000010001
3102201000110202221121110
41302001133233000101
54001220001223040
6132124435243533
711562653655150
oct1620137570021
9381013687543
10122431664145
1147a1753440a
121b88a1495a9
13b711c0b5ab
145cd6289597
1532b86d3980
hex1c817ef011

122431664145 has 32 divisors (see below), whose sum is σ = 224365010688. Its totient is φ = 55846268928.

The previous prime is 122431664123. The next prime is 122431664171. The reversal of 122431664145 is 541466134221.

It is not a de Polignac number, because 122431664145 - 210 = 122431663121 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227744 + ... + 1323713.

It is an arithmetic number, because the mean of its divisors is an integer number (7011406584).

Almost surely, 2122431664145 is an apocalyptic number.

122431664145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122431664145 is a deficient number, since it is larger than the sum of its proper divisors (101933346543).

122431664145 is a wasteful number, since it uses less digits than its factorization.

122431664145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551929.

The product of its digits is 138240, while the sum is 39.

Adding to 122431664145 its reverse (541466134221), we get a palindrome (663897798366).

The spelling of 122431664145 in words is "one hundred twenty-two billion, four hundred thirty-one million, six hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 457 1371 2285 3199 6855 9597 15995 47985 2551457 7654371 12757285 17860199 38271855 53580597 89300995 267902985 1166015849 3498047547 5830079245 8162110943 17490237735 24486332829 40810554715 122431664145