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10141511977 is a prime number
BaseRepresentation
bin10010111000111101…
…10011000100101001
3222011210001012001201
421130132303010221
5131232211340402
64354155444201
7506213300212
oct113436630451
928153035051
1010141511977
11433468a063
121b70456661
13c58106a7c
146c2c7c409
153e5512687
hex25c7b3129

10141511977 has 2 divisors, whose sum is σ = 10141511978. Its totient is φ = 10141511976.

The previous prime is 10141511927. The next prime is 10141512023. The reversal of 10141511977 is 77911514101.

10141511977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7360953616 + 2780558361 = 85796^2 + 52731^2 .

It is a cyclic number.

It is not a de Polignac number, because 10141511977 - 223 = 10133123369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10141511917) 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, 5070755988 + 5070755989.

It is an arithmetic number, because the mean of its divisors is an integer number (5070755989).

Almost surely, 210141511977 is an apocalyptic number.

It is an amenable number.

10141511977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10141511977 is an equidigital number, since it uses as much as digits as its factorization.

10141511977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 37.

The spelling of 10141511977 in words is "ten billion, one hundred forty-one million, five hundred eleven thousand, nine hundred seventy-seven".