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23827274101 is a prime number
BaseRepresentation
bin10110001100001101…
…110101100101110101
32021111120012221022101
4112030031311211311
5342244240232401
614540205102101
71502314326301
oct261415654565
967446187271
1023827274101
11a117969774
12474b857931
1323295a1377
141220716d01
15946c73101
hex58c375975

23827274101 has 2 divisors, whose sum is σ = 23827274102. Its totient is φ = 23827274100.

The previous prime is 23827274071. The next prime is 23827274123. The reversal of 23827274101 is 10147272832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23577602500 + 249671601 = 153550^2 + 15801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23827274101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23827274201) 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, 11913637050 + 11913637051.

It is an arithmetic number, because the mean of its divisors is an integer number (11913637051).

Almost surely, 223827274101 is an apocalyptic number.

It is an amenable number.

23827274101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23827274101 is an equidigital number, since it uses as much as digits as its factorization.

23827274101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 23827274101 in words is "twenty-three billion, eight hundred twenty-seven million, two hundred seventy-four thousand, one hundred one".