Search a number
-
+
12201022100 = 2252294397843
BaseRepresentation
bin10110101110011110…
…01101001010010100
31011111022101010211102
423113033031022110
5144441430201400
65334410125232
7611231656001
oct132717151224
934438333742
1012201022100
1151a1182543
122446120818
1311c59b9107
1483a5c88a8
154b622c9d5
hex2d73cd294

12201022100 has 72 divisors (see below), whose sum is σ = 28026435360. Its totient is φ = 4602487680.

The previous prime is 12201022091. The next prime is 12201022117. The reversal of 12201022100 is 122010221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75779 + ... + 173621.

Almost surely, 212201022100 is an apocalyptic number.

12201022100 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 12201022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013217680).

12201022100 is an abundant number, since it is smaller than the sum of its proper divisors (15825413260).

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

12201022100 is a wasteful number, since it uses less digits than its factorization.

12201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97929 (or 97922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12201022100 its reverse (122010221), we get a palindrome (12323032321).

12201022100 divided by its reverse (122010221) gives a square (100 = 102).

The spelling of 12201022100 in words is "twelve billion, two hundred one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 290 430 580 725 860 1075 1247 1450 2150 2494 2900 4300 4988 6235 12470 24940 31175 62350 97843 124700 195686 391372 489215 978430 1956860 2446075 2837447 4207249 4892150 5674894 8414498 9784300 11349788 14187235 16828996 21036245 28374470 42072490 56748940 70936175 84144980 105181225 122010221 141872350 210362450 244020442 283744700 420724900 488040884 610051105 1220102210 2440204420 3050255525 6100511050 12201022100