Search a number
-
+
123023123321 = 7171516846409
BaseRepresentation
bin111001010010010111…
…1111110001101111001
3102202112200201012001212
41302210233332031321
54003422404421241
6132303244252505
711613425203010
oct1624457761571
9382480635055
10123023123321
11481a038944a
121ba14241135
13b7a7606837
145d50a4ba77
1533005b5beb
hex1ca4bfe379

123023123321 has 16 divisors (see below), whose sum is σ = 149854222080. Its totient is φ = 98588275200.

The previous prime is 123023123269. The next prime is 123023123341. The reversal of 123023123321 is 123321320321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123023123321 is a prime.

It is a super-3 number, since 3×1230231233213 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123023123341) 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 in 15 ways as a sum of consecutive naturals, for example, 3405236 + ... + 3441173.

It is an arithmetic number, because the mean of its divisors is an integer number (9365888880).

Almost surely, 2123023123321 is an apocalyptic number.

It is an amenable number.

123023123321 is a deficient number, since it is larger than the sum of its proper divisors (26831098759).

123023123321 is a wasteful number, since it uses less digits than its factorization.

123023123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846584.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 123023123321 its reverse (123321320321), we get a palindrome (246344443642).

The spelling of 123023123321 in words is "one hundred twenty-three billion, twenty-three million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 7 17 119 151 1057 2567 17969 6846409 47924863 116388953 814722671 1033807759 7236654313 17574731903 123023123321