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213131131320 = 233571109229499
BaseRepresentation
bin1100011001111110011…
…0101111100110111000
3202101010110211021022110
43012133212233212320
511442443032200240
6241524443452320
721253405503462
oct3063746574670
9671113737273
10213131131320
118242aa70548
12353812270a0
1317137914573
14a45c023132
155826179c80
hex319f9af9b8

213131131320 has 128 divisors (see below), whose sum is σ = 654350400000. Its totient is φ = 55520156160.

The previous prime is 213131131319. The next prime is 213131131351. The reversal of 213131131320 is 23131131312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813931 + ... + 1043429.

It is an arithmetic number, because the mean of its divisors is an integer number (5112112500).

Almost surely, 2213131131320 is an apocalyptic number.

213131131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213131131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327175200000).

213131131320 is an abundant number, since it is smaller than the sum of its proper divisors (441219268680).

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

213131131320 is a wasteful number, since it uses less digits than its factorization.

213131131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229693 (or 229689 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213131131320 its reverse (23131131312), we get a palindrome (236262262632).

The spelling of 213131131320 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 109 120 142 213 218 284 327 355 426 436 545 568 654 710 852 872 1065 1090 1308 1420 1635 1704 2130 2180 2616 2840 3270 4260 4360 6540 7739 8520 13080 15478 23217 30956 38695 46434 61912 77390 92868 116085 154780 185736 229499 232170 309560 458998 464340 688497 917996 928680 1147495 1376994 1835992 2294990 2753988 3442485 4589980 5507976 6884970 9179960 13769940 16294429 25015391 27539880 32588858 48883287 50030782 65177716 75046173 81472145 97766574 100061564 125076955 130355432 150092346 162944290 195533148 200123128 244416435 250153910 300184692 325888580 375230865 391066296 488832870 500307820 600369384 651777160 750461730 977665740 1000615640 1500923460 1776092761 1955331480 3001846920 3552185522 5328278283 7104371044 8880463805 10656556566 14208742088 17760927610 21313113132 26641391415 35521855220 42626226264 53282782830 71043710440 106565565660 213131131320