Search a number
-
+
10133223206921 is a prime number
BaseRepresentation
bin1001001101110101001100…
…1010110111000000001001
31022212201121202012101010022
42103131103022313000021
52312010320120110141
633315045524430225
72064046501045343
oct223352312670011
938781552171108
1010133223206921
113257526367221
121177a77b48375
13586735a35889
14270644704293
151288c5c3ab4b
hex937532b7009

10133223206921 has 2 divisors, whose sum is σ = 10133223206922. Its totient is φ = 10133223206920.

The previous prime is 10133223206917. The next prime is 10133223206923. The reversal of 10133223206921 is 12960232233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5405160010000 + 4728063196921 = 2324900^2 + 2174411^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133223206921 - 22 = 10133223206917 is a prime.

It is a super-2 number, since 2×101332232069212 (a number of 27 digits) contains 22 as substring.

Together with 10133223206923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10133223206923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066611603460 + 5066611603461.

It is an arithmetic number, because the mean of its divisors is an integer number (5066611603461).

Almost surely, 210133223206921 is an apocalyptic number.

It is an amenable number.

10133223206921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133223206921 is an equidigital number, since it uses as much as digits as its factorization.

10133223206921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 10133223206921 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty-three million, two hundred six thousand, nine hundred twenty-one".