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22131320312304 = 243271743280110723
BaseRepresentation
bin1010000100000110110010…
…11111000101000111110000
32220100201210202122102020100
411002003121133011013300
510400044420444443204
6115022553241112400
74442635514534220
oct502033137050760
986321722572210
1022131320312304
117062927399145
122595246488700
13c46c8911a1c8
145672396a4080
15285a46a7aa39
hex1420d97c51f0

22131320312304 has 480 divisors, whose sum is σ = 76726458192384. Its totient is φ = 5810260377600.

The previous prime is 22131320312293. The next prime is 22131320312359. The reversal of 22131320312304 is 40321302313122.

22131320312304 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 320 + 31 + 2 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2063905887 + ... + 2063916609.

Almost surely, 222131320312304 is an apocalyptic number.

22131320312304 is a gapful number since it is divisible by the number (24) 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 22131320312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38363229096192).

22131320312304 is an abundant number, since it is smaller than the sum of its proper divisors (54595137880080).

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

22131320312304 is a wasteful number, since it uses less digits than its factorization.

22131320312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22131320312304 its reverse (40321302313122), we get a palindrome (62452622625426).

The spelling of 22131320312304 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand, three hundred four".