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23164221125 = 53136132
BaseRepresentation
bin10101100100101100…
…011111011011000101
32012210100120100121202
4111210230133123011
5334420020034000
614350321352245
71450013426243
oct254454373305
965710510552
1023164221125
119907665201
1245a5798685
1322520ca026
14119a639793
1590894cdd5
hex564b1f6c5

23164221125 has 12 divisors (see below), whose sum is σ = 28911071748. Its totient is φ = 18530015600.

The previous prime is 23164221121. The next prime is 23164221133. The reversal of 23164221125 is 52112246132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 22320957604 + 843263521 = 149402^2 + 29039^2 .

It is not a de Polignac number, because 23164221125 - 22 = 23164221121 is a prime.

It is a super-2 number, since 2×231642211252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23164221121) 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 11 ways as a sum of consecutive naturals, for example, 1694819 + ... + 1708431.

It is an arithmetic number, because the mean of its divisors is an integer number (2409255979).

Almost surely, 223164221125 is an apocalyptic number.

23164221125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23164221125 is a deficient number, since it is larger than the sum of its proper divisors (5746850623).

23164221125 is an frugal number, since it uses more digits than its factorization.

23164221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27241 (or 13618 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

Adding to 23164221125 its reverse (52112246132), we get a palindrome (75276467257).

The spelling of 23164221125 in words is "twenty-three billion, one hundred sixty-four million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 13613 68065 340325 1701625 185313769 926568845 4632844225 23164221125