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34152345401 is a prime number
BaseRepresentation
bin11111110011101000…
…110110111100111001
310021011010122220102112
4133303220312330321
51024421000023101
623404523142105
72316220101056
oct376350667471
9107133586375
1034152345401
1113536121649
126751674935
1332b3727105
14191dad802d
15d4d4436bb
hex7f3a36f39

34152345401 has 2 divisors, whose sum is σ = 34152345402. Its totient is φ = 34152345400.

The previous prime is 34152345343. The next prime is 34152345527. The reversal of 34152345401 is 10454325143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29763150400 + 4389195001 = 172520^2 + 66251^2 .

It is an emirp because it is prime and its reverse (10454325143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34152345401 - 218 = 34152083257 is a prime.

It is not a weakly prime, because it can be changed into another prime (34152347401) 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, 17076172700 + 17076172701.

It is an arithmetic number, because the mean of its divisors is an integer number (17076172701).

Almost surely, 234152345401 is an apocalyptic number.

It is an amenable number.

34152345401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34152345401 is an equidigital number, since it uses as much as digits as its factorization.

34152345401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34152345401 in words is "thirty-four billion, one hundred fifty-two million, three hundred forty-five thousand, four hundred one".