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1010110313 is a prime number
BaseRepresentation
bin111100001101010…
…000111101101001
32121101200220212002
4330031100331221
54032042012223
6244122100345
734013540012
oct7415207551
92541626762
101010110313
114791a9913
1224234a6b5
1313136a014
1498220009
155da2be28
hex3c350f69

1010110313 has 2 divisors, whose sum is σ = 1010110314. Its totient is φ = 1010110312.

The previous prime is 1010110307. The next prime is 1010110327. The reversal of 1010110313 is 3130110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986713744 + 23396569 = 31412^2 + 4837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010110313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010110294 and 1010110303.

It is not a weakly prime, because it can be changed into another prime (1010110363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055156 + 505055157.

It is an arithmetic number, because the mean of its divisors is an integer number (505055157).

Almost surely, 21010110313 is an apocalyptic number.

It is an amenable number.

1010110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110313 is an equidigital number, since it uses as much as digits as its factorization.

1010110313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1010110313 is about 31782.2326622910. The cubic root of 1010110313 is about 1003.3588100971.

Adding to 1010110313 its reverse (3130110101), we get a palindrome (4140220414).

The spelling of 1010110313 in words is "one billion, ten million, one hundred ten thousand, three hundred thirteen".