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2034013309 is a prime number
BaseRepresentation
bin111100100111100…
…1001010001111101
312020202100120201021
41321033021101331
513131201411214
6533455544141
7101255553646
oct17117112175
95222316637
102034013309
11954169339
1248922b051
13265525c93
141541d06cd
15bd880924
hex793c947d

2034013309 has 2 divisors, whose sum is σ = 2034013310. Its totient is φ = 2034013308.

The previous prime is 2034013307. The next prime is 2034013361. The reversal of 2034013309 is 9033104302.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1348725625 + 685287684 = 36725^2 + 26178^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034013309 - 21 = 2034013307 is a prime.

Together with 2034013307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034013301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017006654 + 1017006655.

It is an arithmetic number, because the mean of its divisors is an integer number (1017006655).

Almost surely, 22034013309 is an apocalyptic number.

It is an amenable number.

2034013309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034013309 is an equidigital number, since it uses as much as digits as its factorization.

2034013309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 2034013309 is about 45100.0366851292. The cubic root of 2034013309 is about 1267.0232863447.

The spelling of 2034013309 in words is "two billion, thirty-four million, thirteen thousand, three hundred nine".