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22321211300 = 2252223212113
BaseRepresentation
bin10100110010011100…
…101010011110100100
32010121121022000112122
4110302130222132210
5331203212230200
614130525005112
71420066110533
oct246234523644
963547260478
1022321211300
119514818473
1243ab3b3798
13214956864b
14111a6b631a
158a992c385
hex53272a7a4

22321211300 has 18 divisors (see below), whose sum is σ = 48437028738. Its totient is φ = 8928484480.

The previous prime is 22321211299. The next prime is 22321211333. The reversal of 22321211300 is 311212322.

It can be written as a sum of positive squares in 3 ways, for example, as 328914496 + 21992296804 = 18136^2 + 148298^2 .

It is a super-3 number, since 3×223212113003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111605957 + ... + 111606156.

It is an arithmetic number, because the mean of its divisors is an integer number (2690946041).

Almost surely, 222321211300 is an apocalyptic number.

22321211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321211300 is an abundant number, since it is smaller than the sum of its proper divisors (26115817438).

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

22321211300 is a wasteful number, since it uses less digits than its factorization.

22321211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223212127 (or 223212120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22321211300 its reverse (311212322), we get a palindrome (22632423622).

The spelling of 22321211300 in words is "twenty-two billion, three hundred twenty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223212113 446424226 892848452 1116060565 2232121130 4464242260 5580302825 11160605650 22321211300