Search a number
-
+
33139900117 is a prime number
BaseRepresentation
bin11110110111010010…
…101011111011010101
310011112120120100121001
4132313102223323111
51020332303300432
623120235023301
72252144334412
oct366722537325
9104476510531
1033139900117
1113066678505
12650a59ab31
133181a5036c
14186546b109
15cde6049e7
hex7b74abed5

33139900117 has 2 divisors, whose sum is σ = 33139900118. Its totient is φ = 33139900116.

The previous prime is 33139900099. The next prime is 33139900121. The reversal of 33139900117 is 71100993133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31630266801 + 1509633316 = 177849^2 + 38854^2 .

It is an emirp because it is prime and its reverse (71100993133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33139900117 is a prime.

It is a super-2 number, since 2×331399001172 (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 (33139900177) 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, 16569950058 + 16569950059.

It is an arithmetic number, because the mean of its divisors is an integer number (16569950059).

Almost surely, 233139900117 is an apocalyptic number.

It is an amenable number.

33139900117 is a deficient number, since it is larger than the sum of its proper divisors (1).

33139900117 is an equidigital number, since it uses as much as digits as its factorization.

33139900117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15309, while the sum is 37.

The spelling of 33139900117 in words is "thirty-three billion, one hundred thirty-nine million, nine hundred thousand, one hundred seventeen".