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202202100120120 = 23352185517709951
BaseRepresentation
bin101101111110011011011000…
…010110011011101000111000
3222111221022222000111202020120
4231332123120112123220320
5203000334400112320440
61554014210141253240
760406422352434012
oct5576333026335070
9874838860452216
10202202100120120
115947847a1356a1
121a818156264220
1388a9764c72b39
1437d08c34731b2
151859b19a7ddd0
hexb7e6d859ba38

202202100120120 has 64 divisors (see below), whose sum is σ = 606609154621440. Its totient is φ = 53920306320000.

The previous prime is 202202100120077. The next prime is 202202100120149. The reversal of 202202100120120 is 21021001202202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202202100120120.

It is a congruent number.

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, 22371145 + ... + 30081095.

It is an arithmetic number, because the mean of its divisors is an integer number (9478268040960).

Almost surely, 2202202100120120 is an apocalyptic number.

202202100120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202100120120 is an abundant number, since it is smaller than the sum of its proper divisors (404407054501320).

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

202202100120120 is a wasteful number, since it uses less digits than its factorization.

202202100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928516 (or 7928512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202202100120120 its reverse (21021001202202), we get a palindrome (223223101322322).

The spelling of 202202100120120 in words is "two hundred two trillion, two hundred two billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 218551 437102 655653 874204 1092755 1311306 1748408 2185510 2622612 3278265 4371020 5245224 6556530 7709951 8742040 13113060 15419902 23129853 26226120 30839804 38549755 46259706 61679608 77099510 92519412 115649265 154199020 185038824 231298530 308398040 462597060 925194120 1685017501001 3370035002002 5055052503003 6740070004004 8425087505005 10110105006006 13480140008008 16850175010010 20220210012012 25275262515015 33700350020020 40440420024024 50550525030030 67400700040040 101101050060060 202202100120120