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100120200020982 = 232174321313570659
BaseRepresentation
bin10110110000111100001100…
…111101010000001111110110
3111010111101201212212020222200
4112300330030331100033312
5101110332132201132412
6552534330202205330
730042305614360221
oct2660741475201766
9433441655766880
10100120200020982
11299a0813868a99
12b28bb704b3846
1343b33a98c400b
141aa1bb49445b8
15b895520d59dc
hex5b0f0cf503f6

100120200020982 has 96 divisors (see below), whose sum is σ = 235139444242560. Its totient is φ = 30665382209280.

The previous prime is 100120200020969. The next prime is 100120200020987. The reversal of 100120200020982 is 289020002021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120200020987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26254369 + ... + 29825027.

It is an arithmetic number, because the mean of its divisors is an integer number (2449369210860).

Almost surely, 2100120200020982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120200020982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117569722121280).

100120200020982 is an abundant number, since it is smaller than the sum of its proper divisors (135019244221578).

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

100120200020982 is a wasteful number, since it uses less digits than its factorization.

100120200020982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572858 (or 3572855 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100120200020982 its reverse (289020002021001), we get a palindrome (389140202041983).

The spelling of 100120200020982 in words is "one hundred trillion, one hundred twenty billion, two hundred million, twenty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2131 2193 4262 4386 6393 6579 12786 13158 19179 36227 38358 72454 91633 108681 183266 217362 274899 326043 549798 652086 824697 1557761 1649394 3115522 3570659 4673283 7141318 9346566 10711977 14019849 21423954 28039698 32135931 60701203 64271862 121402406 153538337 182103609 307076674 364207218 460615011 546310827 921230022 1092621654 1381845033 2610151729 2763690066 5220303458 7609074329 7830455187 15218148658 15660910374 22827222987 23491365561 45654445974 46982731122 68481668961 129354263593 136963337922 258708527186 327190196147 388062790779 654380392294 776125581558 981570588441 1164188372337 1963141176882 2328376744674 2944711765323 5562233334499 5889423530646 11124466668998 16686700003497 33373400006994 50060100010491 100120200020982