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34003627013 is a prime number
BaseRepresentation
bin11111101010110001…
…100010110000000101
310020202202211020011002
4133222301202300011
51024114412031023
623342051423045
72312433026546
oct375261426005
9106682736132
1034003627013
111346a185294
12670b8b4a85
13328b986675
1419080644cd
15d40368b28
hex7eac62c05

34003627013 has 2 divisors, whose sum is σ = 34003627014. Its totient is φ = 34003627012.

The previous prime is 34003626973. The next prime is 34003627043. The reversal of 34003627013 is 31072630043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18078953764 + 15924673249 = 134458^2 + 126193^2 .

It is a cyclic number.

It is not a de Polignac number, because 34003627013 - 224 = 33986849797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34003627043) 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, 17001813506 + 17001813507.

It is an arithmetic number, because the mean of its divisors is an integer number (17001813507).

Almost surely, 234003627013 is an apocalyptic number.

It is an amenable number.

34003627013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003627013 is an equidigital number, since it uses as much as digits as its factorization.

34003627013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The spelling of 34003627013 in words is "thirty-four billion, three million, six hundred twenty-seven thousand, thirteen".