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22113213120 = 2632515150849
BaseRepresentation
bin10100100110000011…
…001101101011000000
32010002002220121200100
4110212003031223000
5330241440304440
614054134522400
71411662132045
oct244603155300
963062817610
1022113213120
119418372349
124351806400
1321154409bb
1410dac111cc
15896543230
hex5260cdac0

22113213120 has 168 divisors, whose sum is σ = 76565455200. Its totient is φ = 5857689600.

The previous prime is 22113213103. The next prime is 22113213121. The reversal of 22113213120 is 2131231122.

22113213120 is a `hidden beast` number, since 22 + 11 + 321 + 312 + 0 = 666.

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 = 22113213093 and 22113213102.

It is not an unprimeable number, because it can be changed into a prime (22113213121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409456 + ... + 460304.

Almost surely, 222113213120 is an apocalyptic number.

22113213120 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 22113213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282727600).

22113213120 is an abundant number, since it is smaller than the sum of its proper divisors (54452242080).

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

22113213120 is a wasteful number, since it uses less digits than its factorization.

22113213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51023 (or 51010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22113213120 its reverse (2131231122), we get a palindrome (24244444242).

The spelling of 22113213120 in words is "twenty-two billion, one hundred thirteen million, two hundred thirteen thousand, one hundred twenty".