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100012020120210 = 235113835711385809
BaseRepresentation
bin10110101111010111011100…
…111011101011101010010010
3111010010001111122021220101010
4112233113130323223222102
5101102044104122321320
6552412515431351350
730031426043365422
oct2657273473535222
9433101448256333
10100012020120210
1129959950060420
12b272bbb222556
1343a6129503803
141a9a87138a482
15b8681ebb6ae0
hex5af5dceeba92

100012020120210 has 128 divisors (see below), whose sum is σ = 262993301176320. Its totient is φ = 24139666713600.

The previous prime is 100012020120191. The next prime is 100012020120223. The reversal of 100012020120210 is 12021020210001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71475786 + ... + 72861594.

It is an arithmetic number, because the mean of its divisors is an integer number (2054635165440).

Almost surely, 2100012020120210 is an apocalyptic number.

100012020120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012020120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131496650588160).

100012020120210 is an abundant number, since it is smaller than the sum of its proper divisors (162981281056110).

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

100012020120210 is a wasteful number, since it uses less digits than its factorization.

100012020120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386784.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012020120210 its reverse (12021020210001), we get a palindrome (112033040330211).

The spelling of 100012020120210 in words is "one hundred trillion, twelve billion, twenty million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 571 766 1142 1149 1713 1915 2298 2855 3426 3830 4213 5710 5745 6281 8426 8565 11490 12562 12639 17130 18843 21065 25278 31405 37686 42130 62810 63195 94215 126390 188430 218693 437386 656079 1093465 1312158 1385809 2186930 2405623 2771618 3280395 4157427 4811246 6560790 6929045 7216869 8314854 12028115 13858090 14433738 15243899 20787135 24056230 30487798 36084345 41574270 45731697 72168690 76219495 91463394 152438990 228658485 457316970 530764847 791296939 1061529694 1582593878 1592294541 2373890817 2653824235 3184589082 3956484695 4747781634 5307648470 5838413317 7912969390 7961472705 8704266329 11676826634 11869454085 15922945410 17408532658 17515239951 23738908170 26112798987 29192066585 35030479902 43521331645 52225597974 58384133170 87042663290 87576199755 130563994935 175152399510 261127989870 303066727637 606133455274 909200182911 1515333638185 1818400365822 3030667276370 3333734004007 4546000914555 6667468008014 9092001829110 10001202012021 16668670020035 20002404024042 33337340040070 50006010060105 100012020120210