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102414202404 = 223101279730211
BaseRepresentation
bin101111101100001011…
…1001011011000100100
3100210100102101112100120
41133120113023120210
53134221013434104
6115014243441540
710253630233323
oct1373027133044
9323312345316
10102414202404
113a4851690a8
1217a223862b0
139871a2b987
144d5793a0ba
1529e6168cd9
hex17d85cb624

102414202404 has 48 divisors (see below), whose sum is σ = 241426750656. Its totient is φ = 33786864000.

The previous prime is 102414202379. The next prime is 102414202417. The reversal of 102414202404 is 404202414201.

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 15 ways as a sum of consecutive naturals, for example, 3374859 + ... + 3405069.

It is an arithmetic number, because the mean of its divisors is an integer number (5029723972).

Almost surely, 2102414202404 is an apocalyptic number.

It is an amenable number.

102414202404 is an abundant number, since it is smaller than the sum of its proper divisors (139012548252).

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

102414202404 is a wasteful number, since it uses less digits than its factorization.

102414202404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116 (or 33114 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102414202404 its reverse (404202414201), we get a palindrome (506616616605).

The spelling of 102414202404 in words is "one hundred two billion, four hundred fourteen million, two hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 2797 5594 8391 11188 16782 30211 33564 60422 90633 120844 181266 282497 362532 564994 847491 1129988 1694982 3051311 3389964 6102622 9153933 12205244 18307866 36615732 84500167 169000334 253500501 338000668 507001002 1014002004 8534516867 17069033734 25603550601 34138067468 51207101202 102414202404