Search a number
-
+
1000022001113 is a prime number
BaseRepresentation
bin11101000110101011111…
…01001100010111011001
310112121020020211012100002
432203111331030113121
5112341021113013423
62043223114022345
7132151322521142
oct16432575142731
93477206735302
101000022001113
1135611a392733
121419894179b5
13733bc9cca55
1436589332ac9
151b02d660228
hexe8d5f4c5d9

1000022001113 has 2 divisors, whose sum is σ = 1000022001114. Its totient is φ = 1000022001112.

The previous prime is 1000022001073. The next prime is 1000022001131. The reversal of 1000022001113 is 3111002200001.

Together with next prime (1000022001131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677547935689 + 322474065424 = 823133^2 + 567868^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000022001113 - 220 = 1000020952537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000022001094 and 1000022001103.

It is not a weakly prime, because it can be changed into another prime (1000022001193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500011000556 + 500011000557.

It is an arithmetic number, because the mean of its divisors is an integer number (500011000557).

Almost surely, 21000022001113 is an apocalyptic number.

It is an amenable number.

1000022001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000022001113 is an equidigital number, since it uses as much as digits as its factorization.

1000022001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1000022001113 its reverse (3111002200001), we get a palindrome (4111024201114).

The spelling of 1000022001113 in words is "one trillion, twenty-two million, one thousand, one hundred thirteen".