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22332400121300 = 22521361316405201
BaseRepresentation
bin1010001001111101010101…
…10001101011010111010100
32221001221211100210002012112
411010332222301223113110
510411343223412340200
6115255210223210152
74463314456651343
oct504765261532724
987057740702175
1022332400121300
117130132733875
122608203746958
13c5cc2306a9c9
14572c72d49b5a
1528adb4be8535
hex144faac6b5d4

22332400121300 has 36 divisors (see below), whose sum is σ = 48464871146076. Its totient is φ = 8932303296000.

The previous prime is 22332400121299. The next prime is 22332400121407. The reversal of 22332400121300 is 312100423322.

22332400121300 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4611550092304 + 17720850028996 = 2147452^2 + 4209614^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6841301 + ... + 9563900.

Almost surely, 222332400121300 is an apocalyptic number.

22332400121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22332400121300 is an abundant number, since it is smaller than the sum of its proper divisors (26132471024776).

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

22332400121300 is a wasteful number, since it uses less digits than its factorization.

22332400121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16418828 (or 16418821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 22332400121300 its reverse (312100423322), we get a palindrome (22644500544622).

The spelling of 22332400121300 in words is "twenty-two trillion, three hundred thirty-two billion, four hundred million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13613 27226 54452 68065 136130 272260 340325 680650 1361300 16405201 32810402 65620804 82026005 164052010 328104020 410130025 820260050 1640520100 223324001213 446648002426 893296004852 1116620006065 2233240012130 4466480024260 5583100030325 11166200060650 22332400121300