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1012312013 is a prime number
BaseRepresentation
bin111100010101101…
…010011111001101
32121112211210000112
4330111222133031
54033122441023
6244241205405
734041336656
oct7425523715
92545753015
101012312013
1147a472aa9
12243030865
1313195b1bb
149863452d
155dd14478
hex3c56a7cd

1012312013 has 2 divisors, whose sum is σ = 1012312014. Its totient is φ = 1012312012.

The previous prime is 1012312009. The next prime is 1012312027. The reversal of 1012312013 is 3102132101.

It is an a-pointer prime, because the next prime (1012312027) can be obtained adding 1012312013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 989291209 + 23020804 = 31453^2 + 4798^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012312013 - 22 = 1012312009 is a prime.

It is a super-2 number, since 2×10123120132 = 2049551223328224338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012312513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506156006 + 506156007.

It is an arithmetic number, because the mean of its divisors is an integer number (506156007).

Almost surely, 21012312013 is an apocalyptic number.

It is an amenable number.

1012312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012312013 is an equidigital number, since it uses as much as digits as its factorization.

1012312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1012312013 is about 31816.8510855490. The cubic root of 1012312013 is about 1004.0872757498.

Adding to 1012312013 its reverse (3102132101), we get a palindrome (4114444114).

The spelling of 1012312013 in words is "one billion, twelve million, three hundred twelve thousand, thirteen".