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102123657816 = 2334794788747
BaseRepresentation
bin101111100011100001…
…0110101101001011000
3100202121011200100002220
41133013002311221120
53133122124022231
6114525344224040
710243501524465
oct1370702655130
9322534610086
10102123657816
113a346162704
121796100b020
1398267918bb
144d2b10866c
1529ca8c6896
hex17c70b5a58

102123657816 has 32 divisors (see below), whose sum is σ = 255317346240. Its totient is φ = 34040125728.

The previous prime is 102123657773. The next prime is 102123657877. The reversal of 102123657816 is 618756321201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1106355 + ... + 1195101.

It is an arithmetic number, because the mean of its divisors is an integer number (7978667070).

Almost surely, 2102123657816 is an apocalyptic number.

It is an amenable number.

102123657816 is an abundant number, since it is smaller than the sum of its proper divisors (153193688424).

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

102123657816 is a wasteful number, since it uses less digits than its factorization.

102123657816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136703 (or 136699 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 102123657816 in words is "one hundred two billion, one hundred twenty-three million, six hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47947 88747 95894 143841 177494 191788 266241 287682 354988 383576 532482 575364 709976 1064964 1150728 2129928 4255152409 8510304818 12765457227 17020609636 25530914454 34041219272 51061828908 102123657816