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202112000101220 = 225113132935114727
BaseRepresentation
bin101101111101000111011101…
…111110001000101101100100
3222111121201101210102112222112
4231331013131332020231210
5202442400334011214340
61553504545425220152
760400052530056116
oct5575073576105544
9874551353375875
10202112000101220
115944324400a960
121a8027aba91658
1388a11065015a1
1437ca3b717b3b6
1518575e4a47065
hexb7d1ddf88b64

202112000101220 has 48 divisors (see below), whose sum is σ = 464499516394368. Its totient is φ = 73260463560960.

The previous prime is 202112000101217. The next prime is 202112000101223. The reversal of 202112000101220 is 22101000211202.

It is an interprime number because it is at equal distance from previous prime (202112000101217) and next prime (202112000101223).

It is a junction number, because it is equal to n+sod(n) for n = 202112000101195 and 202112000101204.

It is not an unprimeable number, because it can be changed into a prime (202112000101223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467488504 + ... + 1467626223.

It is an arithmetic number, because the mean of its divisors is an integer number (9677073258216).

Almost surely, 2202112000101220 is an apocalyptic number.

202112000101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112000101220 is an abundant number, since it is smaller than the sum of its proper divisors (262387516293148).

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

202112000101220 is a wasteful number, since it uses less digits than its factorization.

202112000101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935115060 (or 2935115058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202112000101220 its reverse (22101000211202), we get a palindrome (224213000312422).

The spelling of 202112000101220 in words is "two hundred two trillion, one hundred twelve billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 3130 3443 6260 6886 13772 17215 34430 68860 2935114727 5870229454 11740458908 14675573635 29351147270 32286261997 58702294540 64572523994 129145047988 161431309985 322862619970 645725239940 918690909551 1837381819102 3674763638204 4593454547755 9186909095510 10105600005061 18373818191020 20211200010122 40422400020244 50528000025305 101056000050610 202112000101220