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107146040191 is a prime number
BaseRepresentation
bin110001111001001100…
…1101101001101111111
3101020120012011210111221
41203302121231031333
53223413341241231
6121115555254211
710512115212631
oct1436231551577
9336505153457
10107146040191
1141493167943
1218922baa367
13a1471590a8
145286154a51
152bc179ed11
hex18f266d37f

107146040191 has 2 divisors, whose sum is σ = 107146040192. Its totient is φ = 107146040190.

The previous prime is 107146040171. The next prime is 107146040203. The reversal of 107146040191 is 191040641701.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107146040191 is a prime.

It is a super-2 number, since 2×1071460401912 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107146040171) 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, 53573020095 + 53573020096.

It is an arithmetic number, because the mean of its divisors is an integer number (53573020096).

Almost surely, 2107146040191 is an apocalyptic number.

107146040191 is a deficient number, since it is larger than the sum of its proper divisors (1).

107146040191 is an equidigital number, since it uses as much as digits as its factorization.

107146040191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 34.

Adding to 107146040191 its reverse (191040641701), we get a palindrome (298186681892).

The spelling of 107146040191 in words is "one hundred seven billion, one hundred forty-six million, forty thousand, one hundred ninety-one".