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22131041233320 = 23325197369311473
BaseRepresentation
bin1010000100000110010001…
…10110011110100110101000
32220100201002022111201211200
411002003020312132212220
510400043333023431240
6115022505431324200
74442625555440655
oct502031066364650
986321068451750
1022131041233320
1170627a3903a58
122595188b20660
13c46c43365b06
145672105b8c2c
15285a2c300930
hex1420c8d9e9a8

22131041233320 has 96 divisors (see below), whose sum is σ = 71926479354600. Its totient is φ = 5901562146816.

The previous prime is 22131041233261. The next prime is 22131041233333. The reversal of 22131041233320 is 2333214013122.

22131041233320 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 104 + 1 + 233 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21729265269156 + 401775964164 = 4661466^2 + 633858^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70897104 + ... + 71208576.

Almost surely, 222131041233320 is an apocalyptic number.

22131041233320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131041233320 is an abundant number, since it is smaller than the sum of its proper divisors (49795438121280).

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

22131041233320 is a wasteful number, since it uses less digits than its factorization.

22131041233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508859 (or 508852 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22131041233320 its reverse (2333214013122), we get a palindrome (24464255246442).

The spelling of 22131041233320 in words is "twenty-two trillion, one hundred thirty-one billion, forty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 197369 311473 394738 592107 622946 789476 934419 986845 1184214 1245892 1557365 1578952 1776321 1868838 1973690 2368428 2491784 2803257 2960535 3114730 3552642 3737676 3947380 4672095 4736856 5606514 5921070 6229460 7105284 7475352 7894760 8881605 9344190 11213028 11842140 12458920 14016285 14210568 17763210 18688380 22426056 23684280 28032570 35526420 37376760 56065140 71052840 112130280 61475114537 122950229074 184425343611 245900458148 307375572685 368850687222 491800916296 553276030833 614751145370 737701374444 922126718055 1106552061666 1229502290740 1475402748888 1844253436110 2213104123332 2459004581480 2766380154165 3688506872220 4426208246664 5532760308330 7377013744440 11065520616660 22131041233320