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22113001120 = 2557294371223
BaseRepresentation
bin10100100110000010…
…011001111010100000
32010002002111211212111
4110212002121322200
5330241412013440
614054130205104
71411660260010
oct244602317240
963062454774
1022113001120
119418238041
124351723794
132115398362
1410dab97c40
158965004ea
hex526099ea0

22113001120 has 384 divisors, whose sum is σ = 64377815040. Its totient is φ = 7017615360.

The previous prime is 22113001013. The next prime is 22113001129. The reversal of 22113001120 is 2110031122.

It is a self number, because there is not a number n which added to its sum of digits gives 22113001120.

It is not an unprimeable number, because it can be changed into a prime (22113001129) 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, 99161329 + ... + 99161551.

It is an arithmetic number, because the mean of its divisors is an integer number (167650560).

Almost surely, 222113001120 is an apocalyptic number.

22113001120 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 22113001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188907520).

22113001120 is an abundant number, since it is smaller than the sum of its proper divisors (42264813920).

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

22113001120 is a wasteful number, since it uses less digits than its factorization.

22113001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22113001120 its reverse (2110031122), we get a palindrome (24223032242).

The spelling of 22113001120 in words is "twenty-two billion, one hundred thirteen million, one thousand, one hundred twenty".