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34123918021 is a prime number
BaseRepresentation
bin11111110001111100…
…011010101011000101
310021002011011122101121
4133301330122223011
51024341210334041
623402025553541
72315423342314
oct376174325305
9107064148347
1034123918021
1113521075746
1267440458b1
1332aa882b8b
14191a01827b
15d4abca7d1
hex7f1f1aac5

34123918021 has 2 divisors, whose sum is σ = 34123918022. Its totient is φ = 34123918020.

The previous prime is 34123917979. The next prime is 34123918039. The reversal of 34123918021 is 12081932143.

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., 32486097121 + 1637820900 = 180239^2 + 40470^2 .

It is an emirp because it is prime and its reverse (12081932143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34123918021 is a prime.

It is a super-2 number, since 2×341239180212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34123919021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061959010 + 17061959011.

It is an arithmetic number, because the mean of its divisors is an integer number (17061959011).

Almost surely, 234123918021 is an apocalyptic number.

It is an amenable number.

34123918021 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123918021 is an equidigital number, since it uses as much as digits as its factorization.

34123918021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 34123918021 in words is "thirty-four billion, one hundred twenty-three million, nine hundred eighteen thousand, twenty-one".