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1014132013 is a prime number
BaseRepresentation
bin111100011100100…
…110110100101101
32121200021020120221
4330130212310231
54034104211023
6244344211341
734062660046
oct7434466455
92550236527
101014132013
114804a6434
12243769b51
1313214771b
14989898cd
155e07385d
hex3c726d2d

1014132013 has 2 divisors, whose sum is σ = 1014132014. Its totient is φ = 1014132012.

The previous prime is 1014131999. The next prime is 1014132017. The reversal of 1014132013 is 3102314101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007872009 + 6260004 = 31747^2 + 2502^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014132013 - 213 = 1014123821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1014132017) 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, 507066006 + 507066007.

It is an arithmetic number, because the mean of its divisors is an integer number (507066007).

Almost surely, 21014132013 is an apocalyptic number.

It is an amenable number.

1014132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014132013 is an equidigital number, since it uses as much as digits as its factorization.

1014132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1014132013 is about 31845.4394380106. The cubic root of 1014132013 is about 1004.6886531738.

Adding to 1014132013 its reverse (3102314101), we get a palindrome (4116446114).

The spelling of 1014132013 in words is "one billion, fourteen million, one hundred thirty-two thousand, thirteen".