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102214140041012 = 22748912821266137
BaseRepresentation
bin10111001111011010010101…
…100000100001011100110100
3111101220120120011102120110212
4113033122111200201130310
5101344134024322303022
61001220305552004552
730346504451023556
oct2717322540413464
9441816504376425
10102214140041012
112a62885637726a
12b569950830758
1345059a132b24c
141b352956b14d6
15bc3c572b83e2
hex5cf695821734

102214140041012 has 24 divisors (see below), whose sum is σ = 178913255889480. Its totient is φ = 51096068075520.

The previous prime is 102214140040997. The next prime is 102214140041047. The reversal of 102214140041012 is 210140041412201.

It can be written as a sum of positive squares in 4 ways, for example, as 11987964468496 + 90226175572516 = 3462364^2 + 9498746^2 .

It is a super-2 number, since 2×1022141400410122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383932808 + ... + 384198944.

It is an arithmetic number, because the mean of its divisors is an integer number (7454718995395).

Almost surely, 2102214140041012 is an apocalyptic number.

It is an amenable number.

102214140041012 is a deficient number, since it is larger than the sum of its proper divisors (76699115848468).

102214140041012 is a wasteful number, since it uses less digits than its factorization.

102214140041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286451 (or 286449 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 102214140041012 its reverse (210140041412201), we get a palindrome (312354181453213).

The spelling of 102214140041012 in words is "one hundred two trillion, two hundred fourteen billion, one hundred forty million, forty-one thousand, twelve".

Divisors: 1 2 4 7489 12821 14978 25642 29956 51284 266137 532274 1064548 96016469 192032938 384065876 1993099993 3412142477 3986199986 6824284954 7972399972 13648569908 25553535010253 51107070020506 102214140041012