Search a number
-
+
10022113 is a prime number
BaseRepresentation
bin100110001110…
…110011100001
3200212011202101
4212032303201
510031201423
6554450401
7151120663
oct46166341
920764671
1010022113
115725842
123433a01
1320cb95a
14148c533
15d2e7ad
hex98ece1

10022113 has 2 divisors, whose sum is σ = 10022114. Its totient is φ = 10022112.

The previous prime is 10022107. The next prime is 10022119. The reversal of 10022113 is 31122001.

10022113 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10022107) and next prime (10022119).

It can be written as a sum of positive squares in only one way, i.e., 7306209 + 2715904 = 2703^2 + 1648^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022113 - 29 = 10021601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022113.

It is not a weakly prime, because it can be changed into another prime (10022119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011056 + 5011057.

It is an arithmetic number, because the mean of its divisors is an integer number (5011057).

Almost surely, 210022113 is an apocalyptic number.

It is an amenable number.

10022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022113 is an equidigital number, since it uses as much as digits as its factorization.

10022113 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 10.

The square root of 10022113 is about 3165.7721017155. The cubic root of 10022113 is about 215.6021554738.

Adding to 10022113 its reverse (31122001), we get a palindrome (41144114).

The spelling of 10022113 in words is "ten million, twenty-two thousand, one hundred thirteen".