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202112012212220 = 225114619331988797
BaseRepresentation
bin101101111101000111011110…
…101100010101011111111100
3222111121201102122012212011002
4231331013132230111133330
5202442400400111242340
61553504550540545432
760400053035030135
oct5575073654253774
9874551378185132
10202112012212220
115944324a932050
121a8027b3b52278
1388a1108b81c66
1437ca3b8a10c8c
1518575e5b3a715
hexb7d1deb157fc

202112012212220 has 48 divisors (see below), whose sum is σ = 463021481327328. Its totient is φ = 73495081109760.

The previous prime is 202112012212193. The next prime is 202112012212247. The reversal of 202112012212220 is 22212210211202.

It is an interprime number because it is at equal distance from previous prime (202112012212193) and next prime (202112012212247).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202112012212192 and 202112012212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100630862 + ... + 102619658.

It is an arithmetic number, because the mean of its divisors is an integer number (9646280860986).

Almost surely, 2202112012212220 is an apocalyptic number.

202112012212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112012212220 is an abundant number, since it is smaller than the sum of its proper divisors (260909469115108).

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

202112012212220 is a wasteful number, since it uses less digits than its factorization.

202112012212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450750 (or 2450748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202112012212220 its reverse (22212210211202), we get a palindrome (224324222423422).

The spelling of 202112012212220 in words is "two hundred two trillion, one hundred twelve billion, twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 461933 923866 1847732 1988797 2309665 3977594 4619330 5081263 7955188 9238660 9943985 10162526 19887970 20325052 21876767 25406315 39775940 43753534 50812630 87507068 101625260 109383835 218767670 437535340 918690964601 1837381929202 3674763858404 4593454823005 9186909646010 10105600610611 18373819292020 20211201221222 40422402442444 50528003053055 101056006106110 202112012212220