Search a number
-
+
12330400823 = 134212252951
BaseRepresentation
bin10110111101111001…
…01111110000110111
31011211022211021001222
423132330233300313
5200223040311243
65355311140555
7614362451306
oct133674576067
934738737058
1012330400823
11525820a704
12248151475b
131216747b80
1484d86643d
154c2787168
hex2def2fc37

12330400823 has 8 divisors (see below), whose sum is σ = 13310440416. Its totient is φ = 11354868000.

The previous prime is 12330400777. The next prime is 12330400847. The reversal of 12330400823 is 32800403321.

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 12330400823 - 216 = 12330335287 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12330400792 and 12330400801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330402823) 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 7 ways as a sum of consecutive naturals, for example, 1121003 + ... + 1131948.

It is an arithmetic number, because the mean of its divisors is an integer number (1663805052).

Almost surely, 212330400823 is an apocalyptic number.

12330400823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12330400823 is a deficient number, since it is larger than the sum of its proper divisors (980039593).

12330400823 is a wasteful number, since it uses less digits than its factorization.

12330400823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253385.

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 12330400823 in words is "twelve billion, three hundred thirty million, four hundred thousand, eight hundred twenty-three".

Divisors: 1 13 421 5473 2252951 29288363 948492371 12330400823