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23113013220 = 2232511191135437
BaseRepresentation
bin10101100001101001…
…001001011111100100
32012122210012201120200
4111201221021133210
5334313412410340
614341252030500
71445522241123
oct254151113744
965583181520
1023113013220
119890769a20
124590602430
13224460abab
141193909aba
159041d5330
hex561a497e4

23113013220 has 288 divisors, whose sum is σ = 81235889280. Its totient is φ = 5260308480.

The previous prime is 23113013213. The next prime is 23113013227. The reversal of 23113013220 is 2231031132.

23113013220 is a `hidden beast` number, since 2 + 311 + 30 + 1 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23113013213) and next prime (23113013227).

It is a super-2 number, since 2×231130132202 (a number of 22 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 = 23113013193 and 23113013202.

It is not an unprimeable number, because it can be changed into a prime (23113013227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4248342 + ... + 4253778.

It is an arithmetic number, because the mean of its divisors is an integer number (282069060).

Almost surely, 223113013220 is an apocalyptic number.

23113013220 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 23113013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40617944640).

23113013220 is an abundant number, since it is smaller than the sum of its proper divisors (58122876060).

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

23113013220 is a wasteful number, since it uses less digits than its factorization.

23113013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5590 counting only the distinct ones).

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

Adding to 23113013220 its reverse (2231031132), we get a palindrome (25344044352).

The spelling of 23113013220 in words is "twenty-three billion, one hundred thirteen million, thirteen thousand, two hundred twenty".