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21020100010120 = 23597139201119381
BaseRepresentation
bin1001100011110000111111…
…00110000010000010001000
32202102111112220121020111001
410301320133212002002020
510223343131100310440
6112412300045344344
74266436450031341
oct461703746020210
982374486536431
1021020100010120
116774635510042
122435a04b680b4
13b962578a2493
14529541d810c8
15266bab020b9a
hex131e1f982088

21020100010120 has 128 divisors (see below), whose sum is σ = 48152981923200. Its totient is φ = 8256959078400.

The previous prime is 21020100010109. The next prime is 21020100010123. The reversal of 21020100010120 is 2101000102012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21020100010097 and 21020100010106.

It is not an unprimeable number, because it can be changed into a prime (21020100010123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084562830 + ... + 1084582210.

It is an arithmetic number, because the mean of its divisors is an integer number (376195171275).

Almost surely, 221020100010120 is an apocalyptic number.

21020100010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020100010120 is an abundant number, since it is smaller than the sum of its proper divisors (27132881913080).

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

21020100010120 is a wasteful number, since it uses less digits than its factorization.

21020100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21020100010120 its reverse (2101000102012), we get a palindrome (23121100112132).

The spelling of 21020100010120 in words is "twenty-one trillion, twenty billion, one hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 139 194 278 388 485 556 695 776 970 1112 1390 1940 2011 2780 3880 4022 5560 8044 10055 13483 16088 19381 20110 26966 38762 40220 53932 67415 77524 80440 96905 107864 134830 155048 193810 195067 269660 279529 387620 390134 539320 559058 775240 780268 975335 1118116 1397645 1560536 1879957 1950670 2236232 2693959 2795290 3759914 3901340 5387918 5590580 7519828 7802680 9399785 10775836 11181160 13469795 15039656 18799570 21551672 26939590 27114313 37599140 38975191 53879180 54228626 75198280 77950382 107758360 108457252 135571565 155900764 194875955 216914504 261314023 271143130 311801528 389751910 522628046 542286260 779503820 1045256092 1084572520 1306570115 1559007640 2090512184 2613140230 3780593527 5226280460 5417551549 7561187054 10452560920 10835103098 15122374108 18902967635 21670206196 27087757745 30244748216 37805935270 43340412392 54175515490 75611870540 108351030980 151223741080 216702061960 525502500253 1051005000506 2102010001012 2627512501265 4204020002024 5255025002530 10510050005060 21020100010120