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102220020000120 = 23351127039946281
BaseRepresentation
bin10111001111011111110011…
…111110110010010101111000
3111101221010201221121110000010
4113033133303332302111320
5101344233100110000440
61001223121235541520
730350103246610521
oct2717376376622570
9441833657543003
10102220020000120
112a6302a3468600
12b56ab11a5a8a0
1345063ca5875a9
141b35692593848
15bc3e9d5dd580
hex5cf7f3fb2578

102220020000120 has 96 divisors (see below), whose sum is σ = 337072627982160. Its totient is φ = 24780610905600.

The previous prime is 102220020000113. The next prime is 102220020000187. The reversal of 102220020000120 is 21000020022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102220020000096 and 102220020000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3519958621 + ... + 3519987660.

Almost surely, 2102220020000120 is an apocalyptic number.

102220020000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220020000120 is an abundant number, since it is smaller than the sum of its proper divisors (234852607982040).

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

102220020000120 is a wasteful number, since it uses less digits than its factorization.

102220020000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039946317 (or 7039946302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102220020000120 its reverse (21000020022201), we get a palindrome (123220040022321).

The spelling of 102220020000120 in words is "one hundred two trillion, two hundred twenty billion, twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 7039946281 14079892562 21119838843 28159785124 35199731405 42239677686 56319570248 70399462810 77439409091 84479355372 105599194215 140798925620 154878818182 168958710744 211198388430 232318227273 281597851240 309757636364 387197045455 422396776860 464636454546 619515272728 774394090910 844793553720 851833500001 929272909092 1161591136365 1548788181820 1703667000002 1858545818184 2323182272730 2555500500003 3097576363640 3407334000004 4259167500005 4646364545460 5111001000006 6814668000008 8518335000010 9292729090920 10222002000012 12777502500015 17036670000020 20444004000024 25555005000030 34073340000040 51110010000060 102220020000120