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10031002097 is a prime number
BaseRepresentation
bin10010101011110010…
…01111000111110001
3221220002002201000012
421111321033013301
5131020414031342
64335211104305
7503402053034
oct112571170761
927802081005
1010031002097
11428826a386
121b3b442095
13c3b2535cc
146b231301b
153da983b82
hex255e4f1f1

10031002097 has 2 divisors, whose sum is σ = 10031002098. Its totient is φ = 10031002096.

The previous prime is 10031002039. The next prime is 10031002141. The reversal of 10031002097 is 79020013001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7812968881 + 2218033216 = 88391^2 + 47096^2 .

It is an emirp because it is prime and its reverse (79020013001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10031002097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031502097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015501048 + 5015501049.

It is an arithmetic number, because the mean of its divisors is an integer number (5015501049).

Almost surely, 210031002097 is an apocalyptic number.

It is an amenable number.

10031002097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031002097 is an equidigital number, since it uses as much as digits as its factorization.

10031002097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 10031002097 its reverse (79020013001), we get a palindrome (89051015098).

The spelling of 10031002097 in words is "ten billion, thirty-one million, two thousand, ninety-seven".