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11745761201 is a prime number
BaseRepresentation
bin10101111000001101…
…00001011110110001
31010022120201111021122
422330012201132301
5143023403324301
65221304232025
7564033215516
oct127406413661
933276644248
1011745761201
114a881a3269
12233976b615
131152599975
147d5d5b30d
1548b2a081b
hex2bc1a17b1

11745761201 has 2 divisors, whose sum is σ = 11745761202. Its totient is φ = 11745761200.

The previous prime is 11745761189. The next prime is 11745761219. The reversal of 11745761201 is 10216754711.

11745761201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11672641600 + 73119601 = 108040^2 + 8551^2 .

It is a cyclic number.

It is not a de Polignac number, because 11745761201 - 218 = 11745499057 is a prime.

It is not a weakly prime, because it can be changed into another prime (11745761501) 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, 5872880600 + 5872880601.

It is an arithmetic number, because the mean of its divisors is an integer number (5872880601).

Almost surely, 211745761201 is an apocalyptic number.

It is an amenable number.

11745761201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11745761201 is an equidigital number, since it uses as much as digits as its factorization.

11745761201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 11745761201 in words is "eleven billion, seven hundred forty-five million, seven hundred sixty-one thousand, two hundred one".