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22100321421 = 3329594011193
BaseRepresentation
bin10100100101010010…
…000010010010001101
32010001012122122121000
4110211102002102031
5330230140241141
614052554330513
71411444426653
oct244522022215
963035578530
1022100321421
119411067652
124349429a39
132112878b89
1410d9216dd3
158953485b6
hex52548248d

22100321421 has 64 divisors (see below), whose sum is σ = 34559136000. Its totient is φ = 13937817600.

The previous prime is 22100321413. The next prime is 22100321423. The reversal of 22100321421 is 12412300122.

It is a happy number.

22100321421 is a `hidden beast` number, since 2 + 210 + 0 + 32 + 1 + 421 = 666.

It is not a de Polignac number, because 22100321421 - 23 = 22100321413 is a prime.

It is a super-2 number, since 2×221003214212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100321394 and 22100321403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100321423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18524401 + ... + 18525593.

It is an arithmetic number, because the mean of its divisors is an integer number (539986500).

Almost surely, 222100321421 is an apocalyptic number.

It is an amenable number.

22100321421 is a deficient number, since it is larger than the sum of its proper divisors (12458814579).

22100321421 is a wasteful number, since it uses less digits than its factorization.

22100321421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22100321421 its reverse (12412300122), we get a palindrome (34512621543).

The spelling of 22100321421 in words is "twenty-two billion, one hundred million, three hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 27 29 59 87 177 261 401 531 783 1193 1203 1593 1711 3579 3609 5133 10737 10827 11629 15399 23659 32211 34597 34887 46197 70387 70977 103791 104661 211161 212931 311373 313983 478393 633483 638793 686111 934119 1435179 1900449 2041223 2058333 4305537 6123669 6174999 12916611 13873397 18371007 18524997 28225187 41620191 55113021 84675561 124860573 254026683 374581719 762080049 818530423 2455591269 7366773807 22100321421