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102513254004 = 223271723929331
BaseRepresentation
bin101111101111001000…
…1000001111001110100
3100210121022202212121100
41133132101001321310
53134421343112004
6115032142450100
710256242165440
oct1373621017164
9323538685540
10102513254004
113a526072027
1217a4b593930
1398893cc8a5
144d66b61820
1529eebd2739
hex17de441e74

102513254004 has 72 divisors (see below), whose sum is σ = 313569966528. Its totient is φ = 27566588160.

The previous prime is 102513253993. The next prime is 102513254017. The reversal of 102513254004 is 400452315201.

102513254004 is a `hidden beast` number, since 1 + 0 + 251 + 3 + 2 + 5 + 400 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11960382 + ... + 11968949.

It is an arithmetic number, because the mean of its divisors is an integer number (4355138424).

Almost surely, 2102513254004 is an apocalyptic number.

102513254004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102513254004 is an abundant number, since it is smaller than the sum of its proper divisors (211056712524).

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

102513254004 is a wasteful number, since it uses less digits than its factorization.

102513254004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23929365 (or 23929360 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102513254004 its reverse (400452315201), we get a palindrome (502965569205).

The spelling of 102513254004 in words is "one hundred two billion, five hundred thirteen million, two hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 23929331 47858662 71787993 95717324 143575986 167505317 215363979 287151972 335010634 406798627 430727958 502515951 670021268 813597254 861455916 1005031902 1220395881 1507547853 1627194508 2010063804 2440791762 2847590389 3015095706 3661187643 4881583524 5695180778 6030191412 7322375286 8542771167 11390361556 14644750572 17085542334 25628313501 34171084668 51256627002 102513254004