Search a number
-
+
34002120049 is a prime number
BaseRepresentation
bin11111101010101011…
…110010110101110001
310020202122222122222121
4133222223302311301
51024114020320144
623341555234241
72312414152222
oct375253626561
9106678878877
1034002120049
1113469346067
12670b2a8981
13328b579781
141907b91249
15d4016c384
hex7eaaf2d71

34002120049 has 2 divisors, whose sum is σ = 34002120050. Its totient is φ = 34002120048.

The previous prime is 34002120023. The next prime is 34002120133. The reversal of 34002120049 is 94002120043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27272871025 + 6729249024 = 165145^2 + 82032^2 .

It is a cyclic number.

It is not a de Polignac number, because 34002120049 - 221 = 34000022897 is a prime.

It is a super-2 number, since 2×340021200492 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34002124049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001060024 + 17001060025.

It is an arithmetic number, because the mean of its divisors is an integer number (17001060025).

Almost surely, 234002120049 is an apocalyptic number.

It is an amenable number.

34002120049 is a deficient number, since it is larger than the sum of its proper divisors (1).

34002120049 is an equidigital number, since it uses as much as digits as its factorization.

34002120049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 34002120049 in words is "thirty-four billion, two million, one hundred twenty thousand, forty-nine".