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34200631337 is a prime number
BaseRepresentation
bin11111110110100001…
…000011100000101001
310021021111112002021112
4133312201003200221
51030020330200322
623413410120105
72320344366305
oct376641034051
9107244462245
1034200631337
1113560401584
126765880035
1332c0732282
1419262a6d05
15d527d05e2
hex7f6843829

34200631337 has 2 divisors, whose sum is σ = 34200631338. Its totient is φ = 34200631336.

The previous prime is 34200631193. The next prime is 34200631391. The reversal of 34200631337 is 73313600243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32730599056 + 1470032281 = 180916^2 + 38341^2 .

It is a cyclic number.

It is not a de Polignac number, because 34200631337 - 28 = 34200631081 is a prime.

It is not a weakly prime, because it can be changed into another prime (34200631937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100315668 + 17100315669.

It is an arithmetic number, because the mean of its divisors is an integer number (17100315669).

Almost surely, 234200631337 is an apocalyptic number.

It is an amenable number.

34200631337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34200631337 is an equidigital number, since it uses as much as digits as its factorization.

34200631337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 32.

The spelling of 34200631337 in words is "thirty-four billion, two hundred million, six hundred thirty-one thousand, three hundred thirty-seven".