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22320102100 = 2252223201021
BaseRepresentation
bin10100110010011000…
…011011101011010100
32010121112012200000011
4110302120123223110
5331202421231400
614130445130004
71420053510652
oct246230335324
963545180004
1022320102100
11951413007a
1243aab59904
13214926a80a
14111a4a7dd2
158a97ad8ba
hex53261bad4

22320102100 has 18 divisors (see below), whose sum is σ = 48434621774. Its totient is φ = 8928040800.

The previous prime is 22320102067. The next prime is 22320102137. The reversal of 22320102100 is 120102322.

It can be written as a sum of positive squares in 3 ways, for example, as 1456032964 + 20864069136 = 38158^2 + 144444^2 .

It is a super-3 number, since 3×223201021003 (a number of 32 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 111600411 + ... + 111600610.

Almost surely, 222320102100 is an apocalyptic number.

22320102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320102100 is an abundant number, since it is smaller than the sum of its proper divisors (26114519674).

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

22320102100 is a wasteful number, since it uses less digits than its factorization.

22320102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223201035 (or 223201028 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22320102100 its reverse (120102322), we get a palindrome (22440204422).

The spelling of 22320102100 in words is "twenty-two billion, three hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223201021 446402042 892804084 1116005105 2232010210 4464020420 5580025525 11160051050 22320102100