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11038940681 is a prime number
BaseRepresentation
bin10100100011111100…
…01101111000001001
31001111022201021210212
422101332031320021
5140101432100211
65023214450505
7540361306346
oct122176157011
931438637725
1011038940681
11475521557a
122180b03a35
13106c00cc82
1476a1297cd
154491d238b
hex291f8de09

11038940681 has 2 divisors, whose sum is σ = 11038940682. Its totient is φ = 11038940680.

The previous prime is 11038940611. The next prime is 11038940687. The reversal of 11038940681 is 18604983011.

11038940681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7306830400 + 3732110281 = 85480^2 + 61091^2 .

It is a cyclic number.

It is not a de Polignac number, because 11038940681 - 210 = 11038939657 is a prime.

It is a super-2 number, since 2×110389406812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11038940687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5519470340 + 5519470341.

It is an arithmetic number, because the mean of its divisors is an integer number (5519470341).

Almost surely, 211038940681 is an apocalyptic number.

It is an amenable number.

11038940681 is a deficient number, since it is larger than the sum of its proper divisors (1).

11038940681 is an equidigital number, since it uses as much as digits as its factorization.

11038940681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 11038940681 in words is "eleven billion, thirty-eight million, nine hundred forty thousand, six hundred eighty-one".