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21322312221 = 3721937920143
BaseRepresentation
bin10011110110111010…
…001010101000011101
32001000222200200121110
4103312322022220131
5322132002442341
613443443052233
71353246443400
oct236672125035
961028620543
1021322312221
119051986841
124170971079
13201a6255c2
141063b73d37
1584bdb7216
hex4f6e8aa1d

21322312221 has 48 divisors (see below), whose sum is σ = 34905523200. Its totient is φ = 11511878112.

The previous prime is 21322312189. The next prime is 21322312223. The reversal of 21322312221 is 12221322312.

It is not a de Polignac number, because 21322312221 - 25 = 21322312189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322312223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1048476 + ... + 1068618.

It is an arithmetic number, because the mean of its divisors is an integer number (727198400).

Almost surely, 221322312221 is an apocalyptic number.

21322312221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21322312221 is a deficient number, since it is larger than the sum of its proper divisors (13583210979).

21322312221 is a wasteful number, since it uses less digits than its factorization.

21322312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20558 (or 20551 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21322312221 its reverse (12221322312), we get a palindrome (33543634533).

The spelling of 21322312221 in words is "twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 49 57 133 147 379 399 931 1137 2653 2793 7201 7959 18571 20143 21603 50407 55713 60429 141001 151221 352849 382717 423003 987007 1058547 1148151 2679019 2961021 7634197 8037057 18753133 22902591 53439379 56259399 145049743 160318137 374075653 435149229 1015348201 1122226959 3046044603 7107437407 21322312221