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22451125131 = 332286136373
BaseRepresentation
bin10100111010001100…
…001111101110001011
32010221122202022211000
4110322030033232023
5331434442001011
614151445310043
71423234262211
oct247214175613
963848668730
1022451125131
119581090676
124426a05323
13216a453b36
14112da52cb1
158b6040356
hex53a30fb8b

22451125131 has 16 divisors (see below), whose sum is σ = 33263295520. Its totient is φ = 14966350560.

The previous prime is 22451125069. The next prime is 22451125159. The reversal of 22451125131 is 13152115422.

It is a happy number.

It is not a de Polignac number, because 22451125131 - 27 = 22451125003 is a prime.

It is a super-2 number, since 2×224511251312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22451125095 and 22451125104.

It is not an unprimeable number, because it can be changed into a prime (22451125181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 599061 + ... + 635433.

It is an arithmetic number, because the mean of its divisors is an integer number (2078955970).

Almost surely, 222451125131 is an apocalyptic number.

22451125131 is a deficient number, since it is larger than the sum of its proper divisors (10812170389).

22451125131 is a wasteful number, since it uses less digits than its factorization.

22451125131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59243 (or 59237 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 22451125131 in words is "twenty-two billion, four hundred fifty-one million, one hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 22861 36373 68583 109119 205749 327357 617247 982071 831523153 2494569459 7483708377 22451125131