Search a number
-
+
12241210300 = 225211291372801
BaseRepresentation
bin10110110011010001…
…00000101110111100
31011121002222220200021
423121220200232330
5200032222212200
65342403341524
7612230366524
oct133150405674
934532886607
1012241210300
115211931530
1224576818a4
13120111a507
14841a8a684
154b9a1a41a
hex2d9a20bbc

12241210300 has 144 divisors (see below), whose sum is σ = 30207129120. Its totient is φ = 4264960000.

The previous prime is 12241210193. The next prime is 12241210327. The reversal of 12241210300 is 301214221.

12241210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4368900 + ... + 4371700.

It is an arithmetic number, because the mean of its divisors is an integer number (209771730).

Almost surely, 212241210300 is an apocalyptic number.

12241210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103564560).

12241210300 is an abundant number, since it is smaller than the sum of its proper divisors (17965918820).

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

12241210300 is a wasteful number, since it uses less digits than its factorization.

12241210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12241210300 its reverse (301214221), we get a palindrome (12542424521).

The spelling of 12241210300 in words is "twelve billion, two hundred forty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 137 145 220 274 275 290 319 548 550 580 638 685 725 1100 1276 1370 1450 1507 1595 2740 2801 2900 3014 3190 3425 3973 5602 6028 6380 6850 7535 7946 7975 11204 13700 14005 15070 15892 15950 19865 28010 30140 30811 31900 37675 39730 43703 56020 61622 70025 75350 79460 81229 87406 99325 123244 140050 150700 154055 162458 174812 198650 218515 280100 308110 324916 383737 397300 406145 437030 616220 767474 770275 812290 874060 893519 1092575 1534948 1540550 1624580 1787038 1918685 2030725 2185150 3081100 3574076 3837370 4061450 4221107 4370300 4467595 7674740 8122900 8442214 8935190 9593425 11128373 16884428 17870380 19186850 21105535 22256746 22337975 38373700 42211070 44513492 44675950 55641865 84422140 89351900 105527675 111283730 122412103 211055350 222567460 244824206 278209325 422110700 489648412 556418650 612060515 1112837300 1224121030 2448242060 3060302575 6120605150 12241210300