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22320132120 = 233351113433361
BaseRepresentation
bin10100110010011000…
…100011000000011000
32010121112021012012000
4110302120203000120
5331202423211440
614130445521000
71420053664326
oct246230430030
963545235160
1022320132120
119514150690
1243aab73160
13214927b390
14111a4b4d16
158a97b7730
hex532623018

22320132120 has 512 divisors, whose sum is σ = 89466854400. Its totient is φ = 4877107200.

The previous prime is 22320132119. The next prime is 22320132139. The reversal of 22320132120 is 2123102322.

22320132120 is a `hidden beast` number, since 2 + 2 + 320 + 1 + 321 + 20 = 666.

It is a super-3 number, since 3×223201321203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22320132093 and 22320132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6639240 + ... + 6642600.

It is an arithmetic number, because the mean of its divisors is an integer number (174739950).

Almost surely, 222320132120 is an apocalyptic number.

22320132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733427200).

22320132120 is an abundant number, since it is smaller than the sum of its proper divisors (67146722280).

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

22320132120 is a wasteful number, since it uses less digits than its factorization.

22320132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22320132120 its reverse (2123102322), we get a palindrome (24443234442).

The spelling of 22320132120 in words is "twenty-two billion, three hundred twenty million, one hundred thirty-two thousand, one hundred twenty".