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34003410193 is a prime number
BaseRepresentation
bin11111101010110000…
…101101110100010001
310020202202102012201201
4133222300231310101
51024114333111233
623342043031201
72312431134454
oct375260556421
9106682365651
1034003410193
111346a0473a5
12670b80b501
13328b90ba7c
14190800949b
15d4032477d
hex7eac2dd11

34003410193 has 2 divisors, whose sum is σ = 34003410194. Its totient is φ = 34003410192.

The previous prime is 34003410167. The next prime is 34003410247. The reversal of 34003410193 is 39101430043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27878313024 + 6125097169 = 166968^2 + 78263^2 .

It is a cyclic number.

It is not a de Polignac number, because 34003410193 - 213 = 34003402001 is a prime.

It is not a weakly prime, because it can be changed into another prime (34003410593) 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, 17001705096 + 17001705097.

It is an arithmetic number, because the mean of its divisors is an integer number (17001705097).

Almost surely, 234003410193 is an apocalyptic number.

It is an amenable number.

34003410193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003410193 is an equidigital number, since it uses as much as digits as its factorization.

34003410193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 34003410193 in words is "thirty-four billion, three million, four hundred ten thousand, one hundred ninety-three".