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21232211322 = 23729103169243
BaseRepresentation
bin10011110001100010…
…011101010101111010
32000210201011002102010
4103301202131111322
5321440421230242
613430503550350
71351103550510
oct236142352572
960721132363
1021232211322
119006036693
12414675b3b6
132004a6976a
141055bdc4b0
1584401a89c
hex4f189d57a

21232211322 has 64 divisors (see below), whose sum is σ = 50691962880. Its totient is φ = 5800261824.

The previous prime is 21232211309. The next prime is 21232211323. The reversal of 21232211322 is 22311223212.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21232211323) 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 31 ways as a sum of consecutive naturals, for example, 40833 + ... + 210075.

It is an arithmetic number, because the mean of its divisors is an integer number (792061920).

Almost surely, 221232211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25345981440).

21232211322 is an abundant number, since it is smaller than the sum of its proper divisors (29459751558).

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

21232211322 is a wasteful number, since it uses less digits than its factorization.

21232211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169387.

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

Adding to 21232211322 its reverse (22311223212), we get a palindrome (43543434534).

The spelling of 21232211322 in words is "twenty-one billion, two hundred thirty-two million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 103 174 203 206 309 406 609 618 721 1218 1442 2163 2987 4326 5974 8961 17922 20909 41818 62727 125454 169243 338486 507729 1015458 1184701 2369402 3554103 4908047 7108206 9816094 14724141 17432029 29448282 34356329 34864058 52296087 68712658 103068987 104592174 122024203 206137974 244048406 366072609 505528841 732145218 1011057682 1516586523 3033173046 3538701887 7077403774 10616105661 21232211322