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45261811121 is a prime number
BaseRepresentation
bin101010001001110100…
…000110110110110001
311022211101002020101212
4222021310012312301
51220144010423441
632443141405505
73161426022002
oct521164066661
9138741066355
1045261811121
111821712667a
128932109895
13436422a877
1422953411a9
15129d906eeb
hexa89d06db1

45261811121 has 2 divisors, whose sum is σ = 45261811122. Its totient is φ = 45261811120.

The previous prime is 45261811117. The next prime is 45261811139. The reversal of 45261811121 is 12111816254.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45236610721 + 25200400 = 212689^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 45261811121 - 22 = 45261811117 is a prime.

It is not a weakly prime, because it can be changed into another prime (45261811151) 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, 22630905560 + 22630905561.

It is an arithmetic number, because the mean of its divisors is an integer number (22630905561).

Almost surely, 245261811121 is an apocalyptic number.

It is an amenable number.

45261811121 is a deficient number, since it is larger than the sum of its proper divisors (1).

45261811121 is an equidigital number, since it uses as much as digits as its factorization.

45261811121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3840, while the sum is 32.

The spelling of 45261811121 in words is "forty-five billion, two hundred sixty-one million, eight hundred eleven thousand, one hundred twenty-one".