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21132023200220 = 22519294014782061
BaseRepresentation
bin1001100111000001011101…
…01111000111100111011100
32202211012110000211101201002
410303200232233013213130
510232211340414401340
6112535530100005432
74310511143325122
oct463405657074734
982735400741632
1021132023200220
11680804a205359
12245363b990878
13ba398366239a
14530b1c747912
15269a5bda7715
hex13382ebc79dc

21132023200220 has 96 divisors (see below), whose sum is σ = 48444200884800. Its totient is φ = 7712506368000.

The previous prime is 21132023200207. The next prime is 21132023200231. The reversal of 21132023200220 is 2200232023112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21132023200192 and 21132023200201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027990 + ... + 6810050.

It is an arithmetic number, because the mean of its divisors is an integer number (504627092550).

Almost surely, 221132023200220 is an apocalyptic number.

21132023200220 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 21132023200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222100442400).

21132023200220 is an abundant number, since it is smaller than the sum of its proper divisors (27312177684580).

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

21132023200220 is a wasteful number, since it uses less digits than its factorization.

21132023200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782519 (or 4782517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21132023200220 its reverse (2200232023112), we get a palindrome (23332255223332).

The spelling of 21132023200220 in words is "twenty-one trillion, one hundred thirty-two billion, twenty-three million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 401 551 580 802 1102 1604 2005 2204 2755 4010 5510 7619 8020 11020 11629 15238 23258 30476 38095 46516 58145 76190 116290 152380 220951 232580 441902 883804 1104755 2209510 4419020 4782061 9564122 19128244 23910305 47820610 90859159 95641220 138679769 181718318 277359538 363436636 454295795 554719076 693398845 908591590 1386797690 1817183180 1917606461 2634915611 2773595380 3835212922 5269831222 7670425844 9588032305 10539662444 13174578055 19176064610 26349156110 36434522759 38352129220 52698312220 55610587369 72869045518 111221174738 145738091036 182172613795 222442349476 278052936845 364345227590 556105873690 728690455180 1056601160011 1112211747380 2113202320022 4226404640044 5283005800055 10566011600110 21132023200220