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34731600193 is a prime number
BaseRepresentation
bin100000010110001010…
…100010100101000001
310022122111122002121201
4200112022202211001
51032112242201233
623542214421201
72336452505413
oct402612424501
9108574562551
1034731600193
11138030a0314
126893661801
13337673b324
141976a009b3
15d8421477d
hex8162a2941

34731600193 has 2 divisors, whose sum is σ = 34731600194. Its totient is φ = 34731600192.

The previous prime is 34731600187. The next prime is 34731600203. The reversal of 34731600193 is 39100613743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34530187329 + 201412864 = 185823^2 + 14192^2 .

It is a cyclic number.

It is not a de Polignac number, because 34731600193 - 25 = 34731600161 is a prime.

It is not a weakly prime, because it can be changed into another prime (34731600143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17365800096 + 17365800097.

It is an arithmetic number, because the mean of its divisors is an integer number (17365800097).

Almost surely, 234731600193 is an apocalyptic number.

It is an amenable number.

34731600193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34731600193 is an equidigital number, since it uses as much as digits as its factorization.

34731600193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 34731600193 in words is "thirty-four billion, seven hundred thirty-one million, six hundred thousand, one hundred ninety-three".