Search a number
-
+
123130333 = 193653977
BaseRepresentation
bin1110101011011…
…01000111011101
322120200200001201
413111231013131
5223010132313
620115035501
73023406364
oct725550735
9276620051
10123130333
116355a707
123529bb91
131c6819b1
14124d27db
15ac230dd
hex756d1dd

123130333 has 8 divisors (see below), whose sum is σ = 124084728. Its totient is φ = 122179584.

The previous prime is 123130327. The next prime is 123130349. The reversal of 123130333 is 333031321.

It can be written as a sum of positive squares in 4 ways, for example, as 16999129 + 106131204 = 4123^2 + 10302^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123130333 - 213 = 123122141 is a prime.

It is a super-2 number, since 2×1231303332 = 30322157809381778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123130333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125541 + ... + 126517.

It is an arithmetic number, because the mean of its divisors is an integer number (15510591).

Almost surely, 2123130333 is an apocalyptic number.

It is an amenable number.

123130333 is a deficient number, since it is larger than the sum of its proper divisors (954395).

123130333 is an equidigital number, since it uses as much as digits as its factorization.

123130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 123130333 is about 11096.4108161153. The cubic root of 123130333 is about 497.4945773506.

Adding to 123130333 its reverse (333031321), we get a palindrome (456161654).

The spelling of 123130333 in words is "one hundred twenty-three million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 193 653 977 126029 188561 637981 123130333