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52022202101200 = 24521013128386481
BaseRepresentation
bin10111101010000010111001…
…11000000110110111010000
320211012021101201011201022101
423311001130320012313100
523304312432214214300
6302350400354250144
713646323443603202
oct1365013470066720
9224167351151271
1052022202101200
1115637545963141
125a02302286954
13230489894ab26
14cbbc60a06772
1560333bd8cb6a
hex2f505ce06dd0

52022202101200 has 60 divisors (see below), whose sum is σ = 125106720930828. Its totient is φ = 20788338841600.

The previous prime is 52022202101167. The next prime is 52022202101201. The reversal of 52022202101200 is 210120222025.

It can be written as a sum of positive squares in 6 ways, for example, as 22284026595216 + 29738175505984 = 4720596^2 + 5453272^2 .

It is a super-2 number, since 2×520222021012002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52022202101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63788041 + ... + 64598440.

Almost surely, 252022202101200 is an apocalyptic number.

52022202101200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52022202101200 is an abundant number, since it is smaller than the sum of its proper divisors (73084518829628).

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

52022202101200 is a wasteful number, since it uses less digits than its factorization.

52022202101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128387512 (or 128387501 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 52022202101200 its reverse (210120222025), we get a palindrome (52232322323225).

The spelling of 52022202101200 in words is "fifty-two trillion, twenty-two billion, two hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1013 2026 4052 5065 8104 10130 16208 20260 25325 40520 50650 81040 101300 202600 405200 128386481 256772962 513545924 641932405 1027091848 1283864810 2054183696 2567729620 3209662025 5135459240 6419324050 10270918480 12838648100 25677296200 51354592400 130055505253 260111010506 520222021012 650277526265 1040444042024 1300555052530 2080888084048 2601110105060 3251387631325 5202220210120 6502775262650 10404440420240 13005550525300 26011101050600 52022202101200