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1057023901 is a prime number
BaseRepresentation
bin111111000000001…
…110011110011101
32201122222101012101
4333000032132131
54131044231101
6252515405101
735123361223
oct7700163635
92648871171
101057023901
114a273177a
12255bb3791
1313acb463b
14a0552b13
1562be7401
hex3f00e79d

1057023901 has 2 divisors, whose sum is σ = 1057023902. Its totient is φ = 1057023900.

The previous prime is 1057023899. The next prime is 1057023917. The reversal of 1057023901 is 1093207501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 922579876 + 134444025 = 30374^2 + 11595^2 .

It is an emirp because it is prime and its reverse (1093207501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057023901 - 21 = 1057023899 is a prime.

It is a super-2 number, since 2×10570239012 = 2234599054570515602, which contains 22 as substring.

Together with 1057023899, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1057023901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057023991) 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, 528511950 + 528511951.

It is an arithmetic number, because the mean of its divisors is an integer number (528511951).

Almost surely, 21057023901 is an apocalyptic number.

It is an amenable number.

1057023901 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057023901 is an equidigital number, since it uses as much as digits as its factorization.

1057023901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 1057023901 is about 32511.9039891545. The cubic root of 1057023901 is about 1018.6576925360.

The spelling of 1057023901 in words is "one billion, fifty-seven million, twenty-three thousand, nine hundred one".