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1000311113201 is a prime number
BaseRepresentation
bin11101000111001110011…
…00000100010111110001
310112121222101211121120012
432203213030010113301
5112342114121110301
62043311522424305
7132161433112421
oct16434714042761
93477871747505
101000311113201
113562585aa944
12141a4a202095
1373437887aaa
14365b58b0481
151b048c1cebb
hexe8e73045f1

1000311113201 has 2 divisors, whose sum is σ = 1000311113202. Its totient is φ = 1000311113200.

The previous prime is 1000311113183. The next prime is 1000311113261. The reversal of 1000311113201 is 1023111130001.

It is a happy number.

1000311113201 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 can be written as a sum of positive squares in only one way, i.e., 993640144225 + 6670968976 = 996815^2 + 81676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000311113201 - 214 = 1000311096817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000311113261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500155556600 + 500155556601.

It is an arithmetic number, because the mean of its divisors is an integer number (500155556601).

Almost surely, 21000311113201 is an apocalyptic number.

It is an amenable number.

1000311113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000311113201 is an equidigital number, since it uses as much as digits as its factorization.

1000311113201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1000311113201 its reverse (1023111130001), we get a palindrome (2023422243202).

The spelling of 1000311113201 in words is "one trillion, three hundred eleven million, one hundred thirteen thousand, two hundred one".