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1137249034241 is a prime number
BaseRepresentation
bin10000100011001001010…
…100110010000000000001
311000201102211200202122112
4100203021110302000001
5122113041223043431
62230240041345105
7145110043203005
oct20431124620001
94021384622575
101137249034241
113a9339482811
121644a6498195
138331bc3b238
143d086576705
151e8b0bd6c2b
hex108c9532001

1137249034241 has 2 divisors, whose sum is σ = 1137249034242. Its totient is φ = 1137249034240.

The previous prime is 1137249034223. The next prime is 1137249034249. The reversal of 1137249034241 is 1424309427311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687081841216 + 450167193025 = 828904^2 + 670945^2 .

It is a cyclic number.

It is not a de Polignac number, because 1137249034241 - 214 = 1137249017857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1137249034249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 568624517120 + 568624517121.

It is an arithmetic number, because the mean of its divisors is an integer number (568624517121).

Almost surely, 21137249034241 is an apocalyptic number.

It is an amenable number.

1137249034241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1137249034241 is an equidigital number, since it uses as much as digits as its factorization.

1137249034241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 1137249034241 in words is "one trillion, one hundred thirty-seven billion, two hundred forty-nine million, thirty-four thousand, two hundred forty-one".