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107147033017 is a prime number
BaseRepresentation
bin110001111001001110…
…1011111100110111001
3101020120021001020102021
41203302131133212321
53223414120024032
6121120032434441
710512126516313
oct1436235374671
9336507036367
10107147033017
1141493785862
12189233a8a21
13a147415c6b
1452863327b3
152bc18e9097
hex18f275f9b9

107147033017 has 2 divisors, whose sum is σ = 107147033018. Its totient is φ = 107147033016.

The previous prime is 107147032997. The next prime is 107147033039. The reversal of 107147033017 is 710330741701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56674468096 + 50472564921 = 238064^2 + 224661^2 .

It is a cyclic number.

It is not a de Polignac number, because 107147033017 - 215 = 107147000249 is a prime.

It is a super-2 number, since 2×1071470330172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107147033057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53573516508 + 53573516509.

It is an arithmetic number, because the mean of its divisors is an integer number (53573516509).

Almost surely, 2107147033017 is an apocalyptic number.

It is an amenable number.

107147033017 is a deficient number, since it is larger than the sum of its proper divisors (1).

107147033017 is an equidigital number, since it uses as much as digits as its factorization.

107147033017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348, while the sum is 34.

Adding to 107147033017 its reverse (710330741701), we get a palindrome (817477774718).

The spelling of 107147033017 in words is "one hundred seven billion, one hundred forty-seven million, thirty-three thousand, seventeen".