Search a number
-
+
1012133333021 is a prime number
BaseRepresentation
bin11101011101001111101…
…10010000100000011101
310120202111022102121100112
432232213312100200131
5113040322113124041
62052545001535405
7133060415244536
oct16564766204035
93522438377315
101012133333021
11360274975648
121441a94a4565
137459cc44c35
1436db7a5168d
151b4dba72deb
hexeba7d9081d

1012133333021 has 2 divisors, whose sum is σ = 1012133333022. Its totient is φ = 1012133333020.

The previous prime is 1012133333017. The next prime is 1012133333023. The reversal of 1012133333021 is 1203333312101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1012013868121 + 119464900 = 1005989^2 + 10930^2 .

It is an emirp because it is prime and its reverse (1203333312101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012133333021 - 22 = 1012133333017 is a prime.

Together with 1012133333023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012133333023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506066666510 + 506066666511.

It is an arithmetic number, because the mean of its divisors is an integer number (506066666511).

Almost surely, 21012133333021 is an apocalyptic number.

It is an amenable number.

1012133333021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012133333021 is an equidigital number, since it uses as much as digits as its factorization.

1012133333021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1012133333021 its reverse (1203333312101), we get a palindrome (2215466645122).

The spelling of 1012133333021 in words is "one trillion, twelve billion, one hundred thirty-three million, three hundred thirty-three thousand, twenty-one".