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213213013211320 = 235102116633139321
BaseRepresentation
bin110000011110101010000101…
…111010011111100010111000
31000221220222001111001220022221
4300132222011322133202320
5210421240222340230240
62033244412302253424
762624063141443633
oct6036520572374270
91027828044056287
10213213013211320
1161a33149562541
121bab613a887274
1391c7b932b25b5
143a917ca134c1a
15199b25e35ba4a
hexc1ea85e9f8b8

213213013211320 has 64 divisors (see below), whose sum is σ = 480488049699840. Its totient is φ = 85150413388800.

The previous prime is 213213013211309. The next prime is 213213013211323. The reversal of 213213013211320 is 23112310312312.

It is a super-2 number, since 2×2132130132113202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213013211323) 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, 66347260 + ... + 69486580.

It is an arithmetic number, because the mean of its divisors is an integer number (7507625776560).

Almost surely, 2213213013211320 is an apocalyptic number.

213213013211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213213013211320 is an abundant number, since it is smaller than the sum of its proper divisors (267275036488520).

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

213213013211320 is a wasteful number, since it uses less digits than its factorization.

213213013211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142016 (or 3142012 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213213013211320 its reverse (23112310312312), we get a palindrome (236325323523632).

The spelling of 213213013211320 in words is "two hundred thirteen trillion, two hundred thirteen billion, thirteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1021 1663 2042 3326 4084 5105 6652 8168 8315 10210 13304 16630 20420 33260 40840 66520 1697923 3139321 3395846 6278642 6791692 8489615 12557284 13583384 15696605 16979230 25114568 31393210 33958460 62786420 67916920 125572840 3205246741 5220690823 6410493482 10441381646 12820986964 16026233705 20882763292 25641973928 26103454115 32052467410 41765526584 52206908230 64104934820 104413816460 128209869640 208827632920 5330325330283 10660650660566 21321301321132 26651626651415 42642602642264 53303253302830 106606506605660 213213013211320