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11023222320 = 24325111091132
BaseRepresentation
bin10100100010000100…
…10000011000110000
31001110020010201021100
422101002100120300
5140033421103240
65021453524400
7540110562255
oct122102203060
931406121240
1011023222320
11474735a0a0
1221777a3700
131068998676
14767dd742c
15447b29e30
hex291090630

11023222320 has 360 divisors, whose sum is σ = 41119444080. Its totient is φ = 2624348160.

The previous prime is 11023222313. The next prime is 11023222339. The reversal of 11023222320 is 2322232011.

11023222320 is a `hidden beast` number, since 110 + 2 + 322 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×110232223202 (a number of 21 digits) contains 22 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 = 11023222293 and 11023222302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97550584 + ... + 97550696.

It is an arithmetic number, because the mean of its divisors is an integer number (114220678).

Almost surely, 211023222320 is an apocalyptic number.

11023222320 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 11023222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559722040).

11023222320 is an abundant number, since it is smaller than the sum of its proper divisors (30096221760).

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

11023222320 is a wasteful number, since it uses less digits than its factorization.

11023222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11023222320 its reverse (2322232011), we get a palindrome (13345454331).

The spelling of 11023222320 in words is "eleven billion, twenty-three million, two hundred twenty-two thousand, three hundred twenty".