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22031320313100 = 22352727133163773
BaseRepresentation
bin1010000001001100100010…
…00001010110110100001100
32220000011200121000010002010
411000212101001112310030
510341430121000004400
6114505014314101220
74432465440551100
oct500462101266414
986004617003063
1022031320313100
117024480a636aa
12257999871a810
13c3a71060ac47
14562470643900
15283142841450
hex140991056d0c

22031320313100 has 432 divisors, whose sum is σ = 75423871063296. Its totient is φ = 4949727552000.

The previous prime is 22031320313083. The next prime is 22031320313111. The reversal of 22031320313100 is 131302313022.

It is a super-2 number, since 2×220313203131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 345432814 + ... + 345496586.

It is an arithmetic number, because the mean of its divisors is an integer number (174592294128).

Almost surely, 222031320313100 is an apocalyptic number.

22031320313100 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 22031320313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711935531648).

22031320313100 is an abundant number, since it is smaller than the sum of its proper divisors (53392550750196).

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

22031320313100 is a wasteful number, since it uses less digits than its factorization.

22031320313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64206 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22031320313100 its reverse (131302313022), we get a palindrome (22162622626122).

The spelling of 22031320313100 in words is "twenty-two trillion, thirty-one billion, three hundred twenty million, three hundred thirteen thousand, one hundred".