Search a number
-
+
12330030031 = 1119188931231
BaseRepresentation
bin10110111101110110…
…10101001111001111
31011211022010102102221
423132323111033033
5200222441430111
65355255200211
7614356345264
oct133673251717
934738112387
1012330030031
115257a87070
122481376067
131216648177
1484d7ab26b
154c2712371
hex2deed53cf

12330030031 has 16 divisors (see below), whose sum is σ = 14166835200. Its totient is φ = 10613203200.

The previous prime is 12330030029. The next prime is 12330030059. The reversal of 12330030031 is 13003003321.

It is a cyclic number.

It is not a de Polignac number, because 12330030031 - 21 = 12330030029 is a prime.

It is a super-2 number, since 2×123300300312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12330029987 and 12330030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330030061) 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, 379186 + ... + 410416.

It is an arithmetic number, because the mean of its divisors is an integer number (885427200).

Almost surely, 212330030031 is an apocalyptic number.

12330030031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12330030031 is a deficient number, since it is larger than the sum of its proper divisors (1836805169).

12330030031 is a wasteful number, since it uses less digits than its factorization.

12330030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33150.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12330030031 its reverse (13003003321), we get a palindrome (25333033352).

The spelling of 12330030031 in words is "twelve billion, three hundred thirty million, thirty thousand, thirty-one".

Divisors: 1 11 19 209 1889 20779 31231 35891 343541 394801 593389 6527279 58995359 648948949 1120911821 12330030031