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1010010122311 is a prime number
BaseRepresentation
bin11101011001010010100…
…10110110100001000111
310120120000100020022210211
432230221102312201013
5113022000042403221
62051554154100251
7132653664250051
oct16545122664107
93516010208724
101010010122311
1135a385423a53
121438b641a687
13743220bb438
1436c55a828d1
151b4154736e1
hexeb294b6847

1010010122311 has 2 divisors, whose sum is σ = 1010010122312. Its totient is φ = 1010010122310.

The previous prime is 1010010122309. The next prime is 1010010122327. The reversal of 1010010122311 is 1132210100101.

It is a happy number.

1010010122311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010010122311 - 21 = 1010010122309 is a prime.

Together with 1010010122309, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1010010122291 and 1010010122300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010122711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005061155 + 505005061156.

It is an arithmetic number, because the mean of its divisors is an integer number (505005061156).

Almost surely, 21010010122311 is an apocalyptic number.

1010010122311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010122311 is an equidigital number, since it uses as much as digits as its factorization.

1010010122311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010010122311 its reverse (1132210100101), we get a palindrome (2142220222412).

The spelling of 1010010122311 in words is "one trillion, ten billion, ten million, one hundred twenty-two thousand, three hundred eleven".