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202212012110020 = 225119730833073541
BaseRepresentation
bin101101111110100100100111…
…001001101011000011000100
3222111222021112210200000012121
4231332210213021223003010
5203001020200100010040
61554022525501455324
760410223111111523
oct5576444711530304
9874867483600177
10202212012110020
11594816a61a8390
121a81a061871544
1388aa684657013
1437d1183a464ba
151859ee9d54c4a
hexb7e92726b0c4

202212012110020 has 96 divisors (see below), whose sum is σ = 468177063854976. Its totient is φ = 72749954150400.

The previous prime is 202212012109999. The next prime is 202212012110111. The reversal of 202212012110020 is 20011210212202.

It is a happy number.

202212012110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202212012109976 and 202212012110003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64254450 + ... + 67327990.

It is an arithmetic number, because the mean of its divisors is an integer number (4876844415156).

Almost surely, 2202212012110020 is an apocalyptic number.

202212012110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212012110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234088531927488).

202212012110020 is an abundant number, since it is smaller than the sum of its proper divisors (265965051744956).

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

202212012110020 is a wasteful number, since it uses less digits than its factorization.

202212012110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076741 (or 3076739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202212012110020 its reverse (20011210212202), we get a palindrome (222223222322222).

The spelling of 202212012110020 in words is "two hundred two trillion, two hundred twelve billion, twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 3083 4268 5335 6166 10670 12332 15415 21340 30830 33913 61660 67826 135652 169565 299051 339130 598102 678260 1196204 1495255 2990510 3073541 3289561 5981020 6147082 6579122 12294164 13158244 15367705 16447805 30735410 32895610 33808951 61470820 65791220 67617902 135235804 169044755 298133477 338089510 596266954 676179020 1192533908 1490667385 2981334770 3279468247 5962669540 6558936494 9475726903 13117872988 16397341235 18951453806 32794682470 37902907612 47378634515 65589364940 94757269030 104232995933 189514538060 208465991866 416931983732 521164979665 919145509591 1042329959330 1838291019182 2084659918660 3676582038364 4595727547955 9191455095910 10110600605501 18382910191820 20221201211002 40442402422004 50553003027505 101106006055010 202212012110020