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120100210000200 = 23325289749689201
BaseRepresentation
bin11011010011101100000010…
…010110101100000101001000
3120202020110122010120111022100
4123103230002112230011020
5111220210212230001300
61103233135204553400
734203645110140143
oct3323540226540510
9522213563514270
10120100210000200
11352a42385a25a1
12115782853b2860
13520252a5b5391
142192c49d5705a
15dd4137022700
hex6d3b025ac148

120100210000200 has 144 divisors (see below), whose sum is σ = 407868410348100. Its totient is φ = 31666871808000.

The previous prime is 120100210000193. The next prime is 120100210000231. The reversal of 120100210000200 is 2000012001021.

It can be written as a sum of positive squares in 6 ways, for example, as 20925739185156 + 99174470815044 = 4574466^2 + 9958638^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374684401 + ... + 375004800.

Almost surely, 2120100210000200 is an apocalyptic number.

120100210000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100210000200 is an abundant number, since it is smaller than the sum of its proper divisors (287768200347900).

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

120100210000200 is a wasteful number, since it uses less digits than its factorization.

120100210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749689312 (or 749689300 counting only the distinct ones).

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

Adding to 120100210000200 its reverse (2000012001021), we get a palindrome (122100222001221).

The spelling of 120100210000200 in words is "one hundred twenty trillion, one hundred billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 80100 160200 749689201 1499378402 2249067603 2998756804 3748446005 4498135206 5997513608 6747202809 7496892010 8996270412 11245338015 13494405618 14993784020 17992540824 18742230025 22490676030 26988811236 29987568040 33736014045 37484460050 44981352060 53977622472 56226690075 66722338889 67472028090 74968920100 89962704120 112453380150 133444677778 134944056180 149937840200 168680070225 200167016667 224906760300 266889355556 269888112360 333611694445 337360140450 400334033334 449813520600 533778711112 600501050001 667223388890 674720280900 800668066668 1000835083335 1201002100002 1334446777780 1349440561800 1601336133336 1668058472225 2001670166670 2402004200004 2668893555560 3002505250005 3336116944450 4003340333340 4804008400008 5004175416675 6005010500010 6672233888900 8006680666680 10008350833350 12010021000020 13344467777800 15012526250025 20016701666700 24020042000040 30025052500050 40033403333400 60050105000100 120100210000200