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34013531969 is a prime number
BaseRepresentation
bin11111101011010111…
…010100111101000001
310020210110110110012022
4133223113110331001
51024124431010334
623343044011225
72312613152144
oct375327247501
9106713413168
1034013531969
111347482aaaa
126713090b15
133290a43ba1
1419094c205b
15d4117382e
hex7eb5d4f41

34013531969 has 2 divisors, whose sum is σ = 34013531970. Its totient is φ = 34013531968.

The previous prime is 34013531963. The next prime is 34013531971. The reversal of 34013531969 is 96913531043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33971281969 + 42250000 = 184313^2 + 6500^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013531969 - 216 = 34013466433 is a prime.

It is a super-2 number, since 2×340135319692 (a number of 22 digits) contains 22 as substring.

Together with 34013531971, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34013531963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006765984 + 17006765985.

It is an arithmetic number, because the mean of its divisors is an integer number (17006765985).

Almost surely, 234013531969 is an apocalyptic number.

It is an amenable number.

34013531969 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013531969 is an equidigital number, since it uses as much as digits as its factorization.

34013531969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 44.

The spelling of 34013531969 in words is "thirty-four billion, thirteen million, five hundred thirty-one thousand, nine hundred sixty-nine".