Search a number
-
+
101189129933 is a prime number
BaseRepresentation
bin101111000111101010…
…1111001011011001101
3100200012001012101212002
41132033111321123031
53124213404124213
6114252522122045
710211363261423
oct1361725713315
9320161171762
10101189129933
1139a06698011
1217740050325
139707c99318
144c7cd61113
152973829658
hex178f5796cd

101189129933 has 2 divisors, whose sum is σ = 101189129934. Its totient is φ = 101189129932.

The previous prime is 101189129891. The next prime is 101189129957. The reversal of 101189129933 is 339921981101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96439439209 + 4749690724 = 310547^2 + 68918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101189129933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101189179933) 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, 50594564966 + 50594564967.

It is an arithmetic number, because the mean of its divisors is an integer number (50594564967).

Almost surely, 2101189129933 is an apocalyptic number.

It is an amenable number.

101189129933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101189129933 is an equidigital number, since it uses as much as digits as its factorization.

101189129933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 47.

The spelling of 101189129933 in words is "one hundred one billion, one hundred eighty-nine million, one hundred twenty-nine thousand, nine hundred thirty-three".