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13872240901 is a prime number
BaseRepresentation
bin11001110101101100…
…11001100100000101
31022210210001212001001
430322312121210011
5211402243202101
610212310133301
71000524050011
oct147266314405
938723055031
1013872240901
115979577a02
122831951231
131400cc938c
1495853b541
15562ce8901
hex33ad99905

13872240901 has 2 divisors, whose sum is σ = 13872240902. Its totient is φ = 13872240900.

The previous prime is 13872240883. The next prime is 13872240919. The reversal of 13872240901 is 10904227831.

13872240901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13872240883) and next prime (13872240919).

It can be written as a sum of positive squares in only one way, i.e., 12872037025 + 1000203876 = 113455^2 + 31626^2 .

It is a cyclic number.

It is not a de Polignac number, because 13872240901 - 217 = 13872109829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13872240971) 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, 6936120450 + 6936120451.

It is an arithmetic number, because the mean of its divisors is an integer number (6936120451).

Almost surely, 213872240901 is an apocalyptic number.

It is an amenable number.

13872240901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13872240901 is an equidigital number, since it uses as much as digits as its factorization.

13872240901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 13872240901 in words is "thirteen billion, eight hundred seventy-two million, two hundred forty thousand, nine hundred one".