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102796107120 = 24325720396053
BaseRepresentation
bin101111110111100100…
…0000001110101110000
3100211100001000022010200
41133233020001311300
53141011300411440
6115120205155200
710266245331210
oct1375710016560
9324301008120
10102796107120
113a6607a4833
1217b0a25bb00
139902ba5ab5
144d92550240
152a19955c30
hex17ef201d70

102796107120 has 120 divisors (see below), whose sum is σ = 394541268576. Its totient is φ = 23496251904.

The previous prime is 102796107101. The next prime is 102796107173. The reversal of 102796107120 is 21701697201.

It is a happy number.

102796107120 is a `hidden beast` number, since 1 + 0 + 27 + 9 + 610 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 10192987 + ... + 10203066.

Almost surely, 2102796107120 is an apocalyptic number.

102796107120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102796107120 is an abundant number, since it is smaller than the sum of its proper divisors (291745161456).

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

102796107120 is a wasteful number, since it uses less digits than its factorization.

102796107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396079 (or 20396070 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 102796107120 in words is "one hundred two billion, seven hundred ninety-six million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 20396053 40792106 61188159 81584212 101980265 122376318 142772371 163168424 183564477 203960530 244752636 285544742 305940795 326336848 367128954 407921060 428317113 489505272 571089484 611881590 713861855 734257908 815842120 856634226 917822385 979010544 1142178968 1223763180 1284951339 1427723710 1468515816 1631684240 1713268452 1835644770 2141585565 2284357936 2447526360 2569902678 2855447420 2937031632 3426536904 3671289540 4283171130 4895052720 5139805356 5710894840 6424756695 6853073808 7342579080 8566342260 10279610712 11421789680 12849513390 14685158160 17132684520 20559221424 25699026780 34265369040 51398053560 102796107120