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202111010122120 = 2351117101267526619
BaseRepresentation
bin101101111101000110100010…
…111101101010100110001000
3222111121121211210121101221221
4231331012202331222212020
5202442341322042401440
61553504303302411424
760400016146302511
oct5575064275524610
9874547753541857
10202111010122120
1159442886210a10
121a802574430b74
1388a0ca9392638
1437ca3218bba08
151857587b94d4a
hexb7d1a2f6a988

202111010122120 has 128 divisors (see below), whose sum is σ = 530473184265600. Its totient is φ = 68486814208000.

The previous prime is 202111010122097. The next prime is 202111010122121. The reversal of 202111010122120 is 21221010111202.

It is a junction number, because it is equal to n+sod(n) for n = 202111010122094 and 202111010122103.

It is not an unprimeable number, because it can be changed into a prime (202111010122121) 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, 133007830 + ... + 134518789.

It is an arithmetic number, because the mean of its divisors is an integer number (4144321752075).

Almost surely, 2202111010122120 is an apocalyptic number.

202111010122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111010122120 is an abundant number, since it is smaller than the sum of its proper divisors (328362174143480).

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

202111010122120 is a wasteful number, since it uses less digits than its factorization.

202111010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267526759 (or 267526755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202111010122120 its reverse (21221010111202), we get a palindrome (223332020233322).

The spelling of 202111010122120 in words is "two hundred two trillion, one hundred eleven billion, ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 101 110 136 170 187 202 220 340 374 404 440 505 680 748 808 935 1010 1111 1496 1717 1870 2020 2222 3434 3740 4040 4444 5555 6868 7480 8585 8888 11110 13736 17170 18887 22220 34340 37774 44440 68680 75548 94435 151096 188870 377740 755480 267526619 535053238 1070106476 1337633095 2140212952 2675266190 2942792809 4547952523 5350532380 5885585618 9095905046 10701064760 11771171236 14713964045 18191810092 22739762615 23542342472 27020188519 29427928090 36383620184 45479525230 50027477753 54040377038 58855856180 90959050460 100054955506 108080754076 117711712360 135100942595 181918100920 200109911012 216161508152 250137388765 270201885190 297222073709 400219822024 459343204823 500274777530 540403770380 594444147418 918686409646 1000549555060 1080807540760 1188888294836 1486110368545 1837372819292 2001099110120 2296716024115 2377776589672 2972220737090 3674745638584 4593432048230 5052775253053 5944441474180 9186864096460 10105550506106 11888882948360 18373728192920 20211101012212 25263876265265 40422202024424 50527752530530 101055505061060 202111010122120