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34056600001 is a prime number
BaseRepresentation
bin11111101101111011…
…100111100111000001
310020220110111112102121
4133231323213213001
51024221442200001
623351223044241
72313645216004
oct375573474701
9106813445377
1034056600001
1113497076716
1267255a0681
133299943028
1419110d353b
15d44d2e6a1
hex7edee79c1

34056600001 has 2 divisors, whose sum is σ = 34056600002. Its totient is φ = 34056600000.

The previous prime is 34056599911. The next prime is 34056600047. The reversal of 34056600001 is 10000665043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31721391025 + 2335208976 = 178105^2 + 48324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34056600001 is a prime.

It is a super-2 number, since 2×340566000012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34056600091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17028300000 + 17028300001.

It is an arithmetic number, because the mean of its divisors is an integer number (17028300001).

Almost surely, 234056600001 is an apocalyptic number.

It is an amenable number.

34056600001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34056600001 is an equidigital number, since it uses as much as digits as its factorization.

34056600001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 34056600001 in words is "thirty-four billion, fifty-six million, six hundred thousand, one".