Search a number
-
+
106413301 is a prime number
BaseRepresentation
bin1100101011110…
…11110011110101
321102020100121101
412111323303311
5204220211201
614320450101
72431332601
oct625736365
9242210541
10106413301
1155081985
122b779931
131907a967
14101c0501
15951ed01
hex657bcf5

106413301 has 2 divisors, whose sum is σ = 106413302. Its totient is φ = 106413300.

The previous prime is 106413289. The next prime is 106413397. The reversal of 106413301 is 103314601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77264100 + 29149201 = 8790^2 + 5399^2 .

It is a cyclic number.

It is not a de Polignac number, because 106413301 - 213 = 106405109 is a prime.

It is a super-2 number, since 2×1064133012 = 22647581259433202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106413001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53206650 + 53206651.

It is an arithmetic number, because the mean of its divisors is an integer number (53206651).

Almost surely, 2106413301 is an apocalyptic number.

It is an amenable number.

106413301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106413301 is an equidigital number, since it uses as much as digits as its factorization.

106413301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106413301 is about 10315.6822847546. The cubic root of 106413301 is about 473.8766451307.

Adding to 106413301 its reverse (103314601), we get a palindrome (209727902).

It can be divided in two parts, 1064 and 13301, that added together give a triangular number (14365 = T169).

The spelling of 106413301 in words is "one hundred six million, four hundred thirteen thousand, three hundred one".