Search a number
-
+
20100103310933 is a prime number
BaseRepresentation
bin1001001000111111010111…
…00001001000111001010101
32122011112212202111120212022
410210133223201020321111
510113310002421422213
6110425505431302525
74143120204102302
oct444375341107125
978145782446768
1020100103310933
11644a451346178
12230764bb1aa45
13b2a57c325cb9
144d6bc8cd20a9
1524ccb31cb308
hex1247eb848e55

20100103310933 has 2 divisors, whose sum is σ = 20100103310934. Its totient is φ = 20100103310932.

The previous prime is 20100103310891. The next prime is 20100103310939. The reversal of 20100103310933 is 33901330100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19641852839569 + 458250471364 = 4431913^2 + 676942^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100103310933 - 238 = 19825225403989 is a prime.

It is a super-2 number, since 2×201001033109332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100103310939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050051655466 + 10050051655467.

It is an arithmetic number, because the mean of its divisors is an integer number (10050051655467).

Almost surely, 220100103310933 is an apocalyptic number.

It is an amenable number.

20100103310933 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100103310933 is an equidigital number, since it uses as much as digits as its factorization.

20100103310933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 20100103310933 in words is "twenty trillion, one hundred billion, one hundred three million, three hundred ten thousand, nine hundred thirty-three".