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21221001090 = 2325379716563
BaseRepresentation
bin10011110000110111…
…101100011110000010
32000202221001112212100
4103300313230132002
5321430034013330
613425423411230
71350606350562
oct236067543602
960687045770
1021221001090
118aaa77a233
124142a53b16
1320026430a3
141054520da2
15843054060
hex4f0dec782

21221001090 has 96 divisors (see below), whose sum is σ = 56732809536. Its totient is φ = 5499480960.

The previous prime is 21221001059. The next prime is 21221001097. The reversal of 21221001090 is 9010012212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21221001097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3230149 + ... + 3236711.

It is an arithmetic number, because the mean of its divisors is an integer number (590966766).

Almost surely, 221221001090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221001090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366404768).

21221001090 is an abundant number, since it is smaller than the sum of its proper divisors (35511808446).

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

21221001090 is a wasteful number, since it uses less digits than its factorization.

21221001090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 21221001090 in words is "twenty-one billion, two hundred twenty-one million, one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 971 1110 1665 1942 2913 3330 4855 5826 6563 8739 9710 13126 14565 17478 19689 29130 32815 35927 39378 43695 59067 65630 71854 87390 98445 107781 118134 179635 196890 215562 242831 295335 323343 359270 485662 538905 590670 646686 728493 1077810 1214155 1456986 1616715 2185479 2428310 3233430 3642465 4370958 6372673 7284930 10927395 12745346 19118019 21854790 31863365 38236038 57354057 63726730 95590095 114708114 191180190 235788901 286770285 471577802 573540570 707366703 1178944505 1414733406 2122100109 2357889010 3536833515 4244200218 7073667030 10610500545 21221001090