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23072546113 is a prime number
BaseRepresentation
bin10101011111001110…
…110001110101000001
32012112222001210010221
4111133032301311001
5334223032433423
614333244423041
71444521256201
oct253716616501
965488053127
1023072546113
11986a93a431
12457ab47a81
13223910c866
14118c3b4401
1590088ee5d
hex55f3b1d41

23072546113 has 2 divisors, whose sum is σ = 23072546114. Its totient is φ = 23072546112.

The previous prime is 23072546093. The next prime is 23072546129. The reversal of 23072546113 is 31164527032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20444138289 + 2628407824 = 142983^2 + 51268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23072546113 is a prime.

It is a super-2 number, since 2×230725461132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23072543113) 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 as a sum of consecutive naturals, namely, 11536273056 + 11536273057.

It is an arithmetic number, because the mean of its divisors is an integer number (11536273057).

Almost surely, 223072546113 is an apocalyptic number.

It is an amenable number.

23072546113 is a deficient number, since it is larger than the sum of its proper divisors (1).

23072546113 is an equidigital number, since it uses as much as digits as its factorization.

23072546113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 23072546113 in words is "twenty-three billion, seventy-two million, five hundred forty-six thousand, one hundred thirteen".