Search a number
-
+
12023233103100 = 2235292943140413
BaseRepresentation
bin1010111011110110000010…
…0010011100010011111100
31120120102001210021000201110
42232331200202130103330
53033442040133244400
641323221432042020
72350435632100662
oct256754042342374
946512053230643
1012023233103100
11391602a70705a
121422224533310
13692a2ab5657b
142d7cdb428c32
1515cb42927e50
hexaef6089c4fc

12023233103100 has 72 divisors (see below), whose sum is σ = 34824667797360. Its totient is φ = 3202744186880.

The previous prime is 12023233103083. The next prime is 12023233103143. The reversal of 12023233103100 is 130133232021.

It is a super-2 number, since 2×120232331031002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21291507 + ... + 21848906.

It is an arithmetic number, because the mean of its divisors is an integer number (483675941630).

Almost surely, 212023233103100 is an apocalyptic number.

12023233103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023233103100 is an abundant number, since it is smaller than the sum of its proper divisors (22801434694260).

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

12023233103100 is a wasteful number, since it uses less digits than its factorization.

12023233103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43141359 (or 43141352 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12023233103100 its reverse (130133232021), we get a palindrome (12153366335121).

The spelling of 12023233103100 in words is "twelve trillion, twenty-three billion, two hundred thirty-three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 929 1858 2787 3716 4645 5574 9290 11148 13935 18580 23225 27870 46450 55740 69675 92900 139350 278700 43140413 86280826 129421239 172561652 215702065 258842478 431404130 517684956 647106195 862808260 1078510325 1294212390 2157020650 2588424780 3235530975 4314041300 6471061950 12942123900 40077443677 80154887354 120232331031 160309774708 200387218385 240464662062 400774436770 480929324124 601161655155 801548873540 1001936091925 1202323310310 2003872183850 2404646620620 3005808275775 4007744367700 6011616551550 12023233103100