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2241149456053 is a prime number
BaseRepresentation
bin100000100111001110111…
…010101100111010110101
321221020210120002111020101
4200213032322230322311
5243204333230043203
64433323030434101
7320626526026504
oct40471672547265
97836716074211
102241149456053
11794514494402
12302424502931
13133454b113c1
147a687a7283b
153d46dcdd41d
hex209ceeaceb5

2241149456053 has 2 divisors, whose sum is σ = 2241149456054. Its totient is φ = 2241149456052.

The previous prime is 2241149456023. The next prime is 2241149456081. The reversal of 2241149456053 is 3506549411422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1906779863044 + 334369593009 = 1380862^2 + 578247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2241149456053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2241149455994 and 2241149456012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2241149456023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120574728026 + 1120574728027.

It is an arithmetic number, because the mean of its divisors is an integer number (1120574728027).

Almost surely, 22241149456053 is an apocalyptic number.

It is an amenable number.

2241149456053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241149456053 is an equidigital number, since it uses as much as digits as its factorization.

2241149456053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 2241149456053 in words is "two trillion, two hundred forty-one billion, one hundred forty-nine million, four hundred fifty-six thousand, fifty-three".