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22130322100 = 22521012191121
BaseRepresentation
bin10100100111000100…
…011110101010110100
32010010022002211210021
4110213010132222310
5330310330301400
614055545334524
71412260430335
oct244704365264
963108084707
1022130322100
119426a985a7
124357497444
132118b51263
1410dd1c628c
15897cc271a
hex52711eab4

22130322100 has 36 divisors (see below), whose sum is σ = 48498294348. Its totient is φ = 8764480000.

The previous prime is 22130322077. The next prime is 22130322107. The reversal of 22130322100 is 122303122.

It can be written as a sum of positive squares in 6 ways, for example, as 461304484 + 21669017616 = 21478^2 + 147204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130322107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1085461 + ... + 1105660.

It is an arithmetic number, because the mean of its divisors is an integer number (1347174843).

Almost surely, 222130322100 is an apocalyptic number.

22130322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130322100 is an abundant number, since it is smaller than the sum of its proper divisors (26367972248).

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

22130322100 is a wasteful number, since it uses less digits than its factorization.

22130322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191236 (or 2191229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22130322100 its reverse (122303122), we get a palindrome (22252625222).

The spelling of 22130322100 in words is "twenty-two billion, one hundred thirty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 2191121 4382242 8764484 10955605 21911210 43822420 54778025 109556050 219112100 221303221 442606442 885212884 1106516105 2213032210 4426064420 5532580525 11065161050 22130322100