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12232103310 = 2325719416037
BaseRepresentation
bin10110110010001011…
…10001010110001110
31011120110212020020100
423121011301112032
5200022404301220
65341440231530
7612060106530
oct133105612616
934513766210
1012232103310
115207781299
12245460b5a6
1311cc27c26b
14840799850
154b8d1bd90
hex2d917158e

12232103310 has 48 divisors (see below), whose sum is σ = 36346823136. Its totient is φ = 2795909184.

The previous prime is 12232103281. The next prime is 12232103311. The reversal of 12232103310 is 1330123221.

12232103310 is a `hidden beast` number, since 12 + 2 + 321 + 0 + 331 + 0 = 666.

12232103310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122321033102 (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 not an unprimeable number, because it can be changed into a prime (12232103311) 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 23 ways as a sum of consecutive naturals, for example, 9707389 + ... + 9708648.

It is an arithmetic number, because the mean of its divisors is an integer number (757225482).

Almost surely, 212232103310 is an apocalyptic number.

12232103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12232103310 is an abundant number, since it is smaller than the sum of its proper divisors (24114719826).

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

12232103310 is a wasteful number, since it uses less digits than its factorization.

12232103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19416057 (or 19416054 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12232103310 its reverse (1330123221), we get a palindrome (13562226531).

The spelling of 12232103310 in words is "twelve billion, two hundred thirty-two million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19416037 38832074 58248111 97080185 116496222 135912259 174744333 194160370 271824518 291240555 349488666 407736777 582481110 679561295 815473554 873721665 1223210331 1359122590 1747443330 2038683885 2446420662 4077367770 6116051655 12232103310