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22122102100 = 2252752096067
BaseRepresentation
bin10100100110100101…
…000111110101010100
32010002201122020001211
4110212211013311110
5330301224231400
614055053231204
71412130523330
oct244645076524
963081566054
1022122102100
11942239380a
124354792504
132117233957
1410dc0867c0
158971ebdba
hex526947d54

22122102100 has 72 divisors (see below), whose sum is σ = 54882390080. Its totient is φ = 7582014720.

The previous prime is 22122102053. The next prime is 22122102127. The reversal of 22122102100 is 120122122.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3643267 + ... + 3649333.

Almost surely, 222122102100 is an apocalyptic number.

22122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122102100 is an abundant number, since it is smaller than the sum of its proper divisors (32760287980).

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

22122102100 is a wasteful number, since it uses less digits than its factorization.

22122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22122102100 its reverse (120122122), we get a palindrome (22242224222).

The spelling of 22122102100 in words is "twenty-two billion, one hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5209 6067 10418 12134 20836 24268 26045 30335 36463 42469 52090 60670 72926 84938 104180 121340 130225 145852 151675 169876 182315 212345 260450 303350 364630 424690 520900 606700 729260 849380 911575 1061725 1823150 2123450 3646300 4246900 31603003 63206006 126412012 158015015 221221021 316030030 442442042 632060060 790075075 884884084 1106105105 1580150150 2212210210 3160300300 4424420420 5530525525 11061051050 22122102100