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1322166011320 = 2357118910914421
BaseRepresentation
bin10011001111010111001…
…111000100010110111000
311200101202000121111102101
4103033113033010112320
5133130243444330240
62451221130113144
7164344335444160
oct23172717042670
94611660544371
101322166011320
1146a800276610
121942b287b7b4
13978ab46307b
1447dc93c15a0
15245d4de739a
hex133d73c45b8

1322166011320 has 256 divisors, whose sum is σ = 3754893542400. Its totient is φ = 407007744000.

The previous prime is 1322166011311. The next prime is 1322166011321. The reversal of 1322166011320 is 231106612231.

It is a super-2 number, since 2×13221660113202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322166011321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299062710 + ... + 299067130.

It is an arithmetic number, because the mean of its divisors is an integer number (14667552900).

Almost surely, 21322166011320 is an apocalyptic number.

1322166011320 is a gapful number since it is divisible by the number (10) 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 1322166011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877446771200).

1322166011320 is an abundant number, since it is smaller than the sum of its proper divisors (2432727531080).

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

1322166011320 is a wasteful number, since it uses less digits than its factorization.

1322166011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 1322166011320 in words is "one trillion, three hundred twenty-two billion, one hundred sixty-six million, eleven thousand, three hundred twenty".