Search a number
-
+
12321430110 = 23251112445889
BaseRepresentation
bin10110111100110101…
…00001101001011110
31011210200221111120100
423132122201221132
5200213241230420
65354351001530
7614223266523
oct133632415136
934720844510
1012321430110
1152531428a0
12247a5092a6
131214926962
1484c5ad14a
154c1ab4190
hex2de6a1a5e

12321430110 has 48 divisors (see below), whose sum is σ = 34948059120. Its totient is φ = 2987013120.

The previous prime is 12321430091. The next prime is 12321430133. The reversal of 12321430110 is 1103412321.

12321430110 is a `hidden beast` number, since 1 + 232 + 1 + 430 + 1 + 1 + 0 = 666.

It is a super-2 number, since 2×123214301102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6221955 + ... + 6223934.

It is an arithmetic number, because the mean of its divisors is an integer number (728084565).

Almost surely, 212321430110 is an apocalyptic number.

12321430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12321430110 is an abundant number, since it is smaller than the sum of its proper divisors (22626629010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321430110 is a wasteful number, since it uses less digits than its factorization.

12321430110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445913 (or 12445910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12321430110 its reverse (1103412321), we get a palindrome (13424842431).

The spelling of 12321430110 in words is "twelve billion, three hundred twenty-one million, four hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12445889 24891778 37337667 62229445 74675334 112013001 124458890 136904779 186688335 224026002 273809558 373376670 410714337 560065005 684523895 821428674 1120130010 1232143011 1369047790 2053571685 2464286022 4107143370 6160715055 12321430110