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10001014313 is a prime number
BaseRepresentation
bin10010101000001101…
…10101111000101001
3221210222200011111112
421110012311320221
5130440224424223
64332220240105
7502556135063
oct112406657051
927728604445
1010001014313
114272348094
121b313a0035
13c34c84064
146ac348733
153d800d778
hex2541b5e29

10001014313 has 2 divisors, whose sum is σ = 10001014314. Its totient is φ = 10001014312.

The previous prime is 10001014237. The next prime is 10001014343. The reversal of 10001014313 is 31341010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5071148944 + 4929865369 = 71212^2 + 70213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001014313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001014343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000507156 + 5000507157.

It is an arithmetic number, because the mean of its divisors is an integer number (5000507157).

Almost surely, 210001014313 is an apocalyptic number.

It is an amenable number.

10001014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001014313 is an equidigital number, since it uses as much as digits as its factorization.

10001014313 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.

Adding to 10001014313 its reverse (31341010001), we get a palindrome (41342024314).

The spelling of 10001014313 in words is "ten billion, one million, fourteen thousand, three hundred thirteen".