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34146464101 is a prime number
BaseRepresentation
bin11111110011010010…
…011011000101100101
310021010201121002210121
4133303102123011211
51024412443322401
623404153121541
72316116104321
oct376322330545
9107121532717
1034146464101
1113532874972
12674b6b92b1
1332b2448159
14191d006981
15d4cb80ca1
hex7f349b165

34146464101 has 2 divisors, whose sum is σ = 34146464102. Its totient is φ = 34146464100.

The previous prime is 34146464057. The next prime is 34146464167. The reversal of 34146464101 is 10146464143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30975648001 + 3170816100 = 175999^2 + 56310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34146464101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34146464501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17073232050 + 17073232051.

It is an arithmetic number, because the mean of its divisors is an integer number (17073232051).

Almost surely, 234146464101 is an apocalyptic number.

It is an amenable number.

34146464101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34146464101 is an equidigital number, since it uses as much as digits as its factorization.

34146464101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 34146464101 in words is "thirty-four billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred one".