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1023757213 is a prime number
BaseRepresentation
bin111101000001010…
…100101110011101
32122100101020212211
4331001110232131
54044040212323
6245330400421
734240535623
oct7501245635
92570336784
101023757213
1148597aa46
12246a30111
131341377cb
1499d73513
155ed2570d
hex3d054b9d

1023757213 has 2 divisors, whose sum is σ = 1023757214. Its totient is φ = 1023757212.

The previous prime is 1023757193. The next prime is 1023757283. The reversal of 1023757213 is 3127573201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800493849 + 223263364 = 28293^2 + 14942^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023757213 - 217 = 1023626141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023757283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511878606 + 511878607.

It is an arithmetic number, because the mean of its divisors is an integer number (511878607).

Almost surely, 21023757213 is an apocalyptic number.

It is an amenable number.

1023757213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023757213 is an equidigital number, since it uses as much as digits as its factorization.

1023757213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1023757213 is about 31996.2062282390. The cubic root of 1023757213 is about 1007.8571741267.

The spelling of 1023757213 in words is "one billion, twenty-three million, seven hundred fifty-seven thousand, two hundred thirteen".