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9901010122120 = 2351342461448421
BaseRepresentation
bin1001000000010100001000…
…1100001111010110001000
31022001112020102022102122001
42100011002030033112020
52244204232042401440
633020243344240344
72041216155305245
oct220050214172610
938045212272561
109901010122120
113177aa4105697
12113aa703100b4
1356a8799bb2a0
142632d62d25cc
15122834738b9a
hex9014230f588

9901010122120 has 64 divisors (see below), whose sum is σ = 23991527654640. Its totient is φ = 3655663334400.

The previous prime is 9901010122109. The next prime is 9901010122153. The reversal of 9901010122120 is 212210101099.

It can be written as a sum of positive squares in 8 ways, for example, as 7341899644836 + 2559110477284 = 2709594^2 + 1599722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21855510 + ... + 22303930.

Almost surely, 29901010122120 is an apocalyptic number.

It is an amenable number.

9901010122120 is an abundant number, since it is smaller than the sum of its proper divisors (14090517532520).

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

9901010122120 is a wasteful number, since it uses less digits than its factorization.

9901010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490906 (or 490902 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 9901010122120 in words is "nine trillion, nine hundred one billion, ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 42461 84922 169844 212305 339688 424610 448421 551993 849220 896842 1103986 1698440 1793684 2207972 2242105 2759965 3587368 4415944 4484210 5519930 5829473 8968420 11039860 11658946 17936840 22079720 23317892 29147365 46635784 58294730 116589460 233178920 19040404081 38080808162 76161616324 95202020405 152323232648 190404040810 247525253053 380808081620 495050506106 761616163240 990101012212 1237626265265 1980202024424 2475252530530 4950505061060 9901010122120