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23753730101 is a prime number
BaseRepresentation
bin10110000111110101…
…010010100000110101
32021022102211111220112
4112013311102200311
5342121423330401
614525020512405
71500432242303
oct260765224065
967272744815
1023753730101
11a08a3a8002
12472b0ab705
1323172916ca
141214a51273
159405973bb
hex587d52835

23753730101 has 2 divisors, whose sum is σ = 23753730102. Its totient is φ = 23753730100.

The previous prime is 23753729999. The next prime is 23753730127. The reversal of 23753730101 is 10103735732.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20867247025 + 2886483076 = 144455^2 + 53726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23753730101 is a prime.

It is a super-2 number, since 2×237537301012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23753730151) 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 as a sum of consecutive naturals, namely, 11876865050 + 11876865051.

It is an arithmetic number, because the mean of its divisors is an integer number (11876865051).

Almost surely, 223753730101 is an apocalyptic number.

It is an amenable number.

23753730101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23753730101 is an equidigital number, since it uses as much as digits as its factorization.

23753730101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 32.

The spelling of 23753730101 in words is "twenty-three billion, seven hundred fifty-three million, seven hundred thirty thousand, one hundred one".