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1057113341 is a prime number
BaseRepresentation
bin111111000000100…
…100010011111101
32201200010220212222
4333000210103331
54131110111331
6252521335125
735124213044
oct7700442375
92650126788
101057113341
114a2792999
122560374a5
1313b01626b
14a057755b
1562c13b7b
hex3f0244fd

1057113341 has 2 divisors, whose sum is σ = 1057113342. Its totient is φ = 1057113340.

The previous prime is 1057113301. The next prime is 1057113377. The reversal of 1057113341 is 1433117501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022656441 + 34456900 = 31979^2 + 5870^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057113341 - 210 = 1057112317 is a prime.

It is a super-2 number, since 2×10571133412 = 2234977231440364562, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057113341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057113301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528556670 + 528556671.

It is an arithmetic number, because the mean of its divisors is an integer number (528556671).

Almost surely, 21057113341 is an apocalyptic number.

It is an amenable number.

1057113341 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057113341 is an equidigital number, since it uses as much as digits as its factorization.

1057113341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1057113341 is about 32513.2794562468. The cubic root of 1057113341 is about 1018.6864229410.

The spelling of 1057113341 in words is "one billion, fifty-seven million, one hundred thirteen thousand, three hundred forty-one".