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102142224012 = 22331274575871
BaseRepresentation
bin101111100100000100…
…1101010011010001100
3100202122110121121010210
41133020021222122030
53133141402132022
6114531250202420
710244115402363
oct1371011523214
9322573547123
10102142224012
113a355693774
1217967283410
13982a59250a
144d2d77c7da
1529cc342a0c
hex17c826a68c

102142224012 has 24 divisors (see below), whose sum is σ = 246019981312. Its totient is φ = 32949104400.

The previous prime is 102142224011. The next prime is 102142224073. The reversal of 102142224012 is 210422241201.

It is a super-2 number, since 2×1021422240122 (a number of 23 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 102142224012.

It is not an unprimeable number, because it can be changed into a prime (102142224011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 137287564 + ... + 137288307.

Almost surely, 2102142224012 is an apocalyptic number.

102142224012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102142224012 is an abundant number, since it is smaller than the sum of its proper divisors (143877757300).

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

102142224012 is a wasteful number, since it uses less digits than its factorization.

102142224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274575909 (or 274575907 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102142224012 its reverse (210422241201), we get a palindrome (312564465213).

The spelling of 102142224012 in words is "one hundred two billion, one hundred forty-two million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 274575871 549151742 823727613 1098303484 1647455226 3294910452 8511852001 17023704002 25535556003 34047408004 51071112006 102142224012