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22320130100 = 2252223201301
BaseRepresentation
bin10100110010011000…
…100010100000110100
32010121112021002102012
4110302120202200310
5331202423130400
614130445503352
71420053655412
oct246230424064
963545232365
1022320130100
11951414a114
1243aab71b58
13214927a498
14111a4b42b2
158a97b6d35
hex532622834

22320130100 has 18 divisors (see below), whose sum is σ = 48434682534. Its totient is φ = 8928052000.

The previous prime is 22320130069. The next prime is 22320130109. The reversal of 22320130100 is 103102322.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2774971684 + 19545158416 = 52678^2 + 139804^2 .

It is a super-3 number, since 3×223201301003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320130109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111600551 + ... + 111600750.

Almost surely, 222320130100 is an apocalyptic number.

22320130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320130100 is an abundant number, since it is smaller than the sum of its proper divisors (26114552434).

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

22320130100 is a wasteful number, since it uses less digits than its factorization.

22320130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223201315 (or 223201308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22320130100 its reverse (103102322), we get a palindrome (22423232422).

The spelling of 22320130100 in words is "twenty-two billion, three hundred twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223201301 446402602 892805204 1116006505 2232013010 4464026020 5580032525 11160065050 22320130100