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1013332031 is a prime number
BaseRepresentation
bin111100011001100…
…011100000111111
32121121202121012222
4330121203200333
54033403111111
6244315115555
734053115535
oct7431434077
92547677188
101013332031
1147aaaa398
12243442bbb
13131c2756a
149881c155
155de667db
hex3c66383f

1013332031 has 2 divisors, whose sum is σ = 1013332032. Its totient is φ = 1013332030.

The previous prime is 1013332013. The next prime is 1013332049. The reversal of 1013332031 is 1302333101.

Together with previous prime (1013332013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (1013332013) and next prime (1013332049).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013332031 is a prime.

It is a super-2 number, since 2×10133320312 = 2053683610101169922, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013332081) 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, 506666015 + 506666016.

It is an arithmetic number, because the mean of its divisors is an integer number (506666016).

Almost surely, 21013332031 is an apocalyptic number.

1013332031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013332031 is an equidigital number, since it uses as much as digits as its factorization.

1013332031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1013332031 is about 31832.8765743845. The cubic root of 1013332031 is about 1004.4244060943.

Adding to 1013332031 its reverse (1302333101), we get a palindrome (2315665132).

The spelling of 1013332031 in words is "one billion, thirteen million, three hundred thirty-two thousand, thirty-one".