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11457537241 is a prime number
BaseRepresentation
bin10101010101110110…
…00010010011011001
31002120111101012100011
422222323002103121
5141431112142431
65132530441521
7553633313443
oct125273022331
932514335304
1011457537241
11494a532347
1222791332a1
131107962c47
147a9971493
15470d1acb1
hex2aaec24d9

11457537241 has 2 divisors, whose sum is σ = 11457537242. Its totient is φ = 11457537240.

The previous prime is 11457537233. The next prime is 11457537269. The reversal of 11457537241 is 14273575411.

11457537241 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., 10423593216 + 1033944025 = 102096^2 + 32155^2 .

It is a cyclic number.

It is not a de Polignac number, because 11457537241 - 23 = 11457537233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11457537194 and 11457537203.

It is not a weakly prime, because it can be changed into another prime (11457537271) 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, 5728768620 + 5728768621.

It is an arithmetic number, because the mean of its divisors is an integer number (5728768621).

Almost surely, 211457537241 is an apocalyptic number.

It is an amenable number.

11457537241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11457537241 is an equidigital number, since it uses as much as digits as its factorization.

11457537241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117600, while the sum is 40.

The spelling of 11457537241 in words is "eleven billion, four hundred fifty-seven million, five hundred thirty-seven thousand, two hundred forty-one".