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22313103120 = 243257113112983
BaseRepresentation
bin10100110001111101…
…101110111100010000
32010121001001002012200
4110301331232330100
5331144123244440
614130035123200
71416640150530
oct246175567420
963531032180
1022313103120
11951018a6a0
1243a8743500
132147989bc9
1411195a54c0
158a8d79c30
hex531f6ef10

22313103120 has 480 divisors, whose sum is σ = 96446398464. Its totient is φ = 4486579200.

The previous prime is 22313103083. The next prime is 22313103161. The reversal of 22313103120 is 2130131322.

22313103120 is a `hidden beast` number, since 2 + 231 + 310 + 3 + 120 = 666.

It is a super-3 number, since 3×223131031203 (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 = 22313103093 and 22313103102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1712149 + ... + 1725131.

Almost surely, 222313103120 is an apocalyptic number.

22313103120 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 22313103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48223199232).

22313103120 is an abundant number, since it is smaller than the sum of its proper divisors (74133295344).

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

22313103120 is a wasteful number, since it uses less digits than its factorization.

22313103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22313103120 its reverse (2130131322), we get a palindrome (24443234442).

The spelling of 22313103120 in words is "twenty-two billion, three hundred thirteen million, one hundred three thousand, one hundred twenty".