Search a number
-
+
20133323933 is a prime number
BaseRepresentation
bin10010110000000010…
…100010010010011101
31220222010101211022012
4102300002202102131
5312213112331213
613125451001005
71311631300262
oct226002422235
956863354265
1020133323933
1185a1811298
123a9a739165
131b8b1b8338
14d8dcad269
157cc8044a8
hex4b00a249d

20133323933 has 2 divisors, whose sum is σ = 20133323934. Its totient is φ = 20133323932.

The previous prime is 20133323929. The next prime is 20133323957. The reversal of 20133323933 is 33932333102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18989666809 + 1143657124 = 137803^2 + 33818^2 .

It is a cyclic number.

It is not a de Polignac number, because 20133323933 - 22 = 20133323929 is a prime.

It is a super-2 number, since 2×201333239332 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20133323933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20133323983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066661966 + 10066661967.

It is an arithmetic number, because the mean of its divisors is an integer number (10066661967).

Almost surely, 220133323933 is an apocalyptic number.

It is an amenable number.

20133323933 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133323933 is an equidigital number, since it uses as much as digits as its factorization.

20133323933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

The spelling of 20133323933 in words is "twenty billion, one hundred thirty-three million, three hundred twenty-three thousand, nine hundred thirty-three".