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23201687041 = 132117172
BaseRepresentation
bin10101100110111011…
…011010011000000001
32012212222001211012021
4111212323122120001
5340004112441131
614354140401441
71450650041311
oct254673323001
965788054167
1023201687041
119926824975
1245b6246281
132259ab7300
1411a15cd441
1590bd9de11
hex566eda601

23201687041 has 9 divisors (see below), whose sum is σ = 25125864681. Its totient is φ = 21415114032.

The previous prime is 23201687021. The next prime is 23201687053. The reversal of 23201687041 is 14078610232.

The square root of 23201687041 is 152321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18626517441 + 4575169600 = 136479^2 + 67640^2 .

It is not a de Polignac number, because 23201687041 - 223 = 23193298433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23201686988 and 23201687006.

It is not an unprimeable number, because it can be changed into a prime (23201687021) 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 8 ways as a sum of consecutive naturals, for example, 1974315 + ... + 1986031.

Almost surely, 223201687041 is an apocalyptic number.

23201687041 is the 152321-st square number.

23201687041 is the 76161-st centered octagonal number.

It is an amenable number.

23201687041 is a deficient number, since it is larger than the sum of its proper divisors (1924177640).

23201687041 is an frugal number, since it uses more digits than its factorization.

23201687041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23460 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 23201687041 in words is "twenty-three billion, two hundred one million, six hundred eighty-seven thousand, forty-one".

Divisors: 1 13 169 11717 152321 1980173 137288089 1784745157 23201687041