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200100210000120 = 233252324166692029
BaseRepresentation
bin101101011111110101110101…
…111011111100000011111000
3222020111101121200102111211100
4231133311311323330003320
5202211420212230000440
61545324433433331400
760101522512260333
oct5537656573740370
9866441550374740
10200100210000120
1158838027a41671
121a538917566b60
1387864a4447541
14375ac8a90b61a
1518200eb95b230
hexb5fd75efc0f8

200100210000120 has 96 divisors (see below), whose sum is σ = 678600712202400. Its totient is φ = 51040053563136.

The previous prime is 200100210000109. The next prime is 200100210000139. The reversal of 200100210000120 is 21000012001002.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 12083337735 + ... + 12083354294.

It is an arithmetic number, because the mean of its divisors is an integer number (7068757418775).

Almost surely, 2200100210000120 is an apocalyptic number.

200100210000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100210000120 is an abundant number, since it is smaller than the sum of its proper divisors (478500502202280).

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

200100210000120 is a wasteful number, since it uses less digits than its factorization.

200100210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24166692069 (or 24166692062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200100210000120 its reverse (21000012001002), we get a palindrome (221100222001122).

The spelling of 200100210000120 in words is "two hundred trillion, one hundred billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 24166692029 48333384058 72500076087 96666768116 120833460145 145000152174 193333536232 217500228261 241666920290 290000304348 362500380435 435000456522 483333840580 555833916667 580000608696 725000760870 870000913044 966667681160 1087501141305 1111667833334 1450001521740 1667501750001 1740001826088 2175002282610 2223335666668 2779169583335 2900003043480 3335003500002 4350004565220 4446671333336 5002505250003 5558339166670 6670007000004 8337508750005 8700009130440 10005010500006 11116678333340 13340014000008 16675017500010 20010021000012 22233356666680 25012526250015 33350035000020 40020042000024 50025052500030 66700070000040 100050105000060 200100210000120