Search a number
-
+
12210222100 = 22521992632333
BaseRepresentation
bin10110101111100100…
…10011010000010100
31011111221200112212011
423113302103100110
5200001304101400
65335335234004
7611403114106
oct132762232024
934457615764
1012210222100
1151a639664a
122449218904
1311c788a7bb
1483b901576
154b6e488ba
hex2d7c93414

12210222100 has 72 divisors (see below), whose sum is σ = 26742038400. Its totient is φ = 4838993280.

The previous prime is 12210222091. The next prime is 12210222127. The reversal of 12210222100 is 122201221.

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, 5232534 + ... + 5234866.

It is an arithmetic number, because the mean of its divisors is an integer number (371417200).

Almost surely, 212210222100 is an apocalyptic number.

12210222100 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 12210222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371019200).

12210222100 is an abundant number, since it is smaller than the sum of its proper divisors (14531816300).

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

12210222100 is a wasteful number, since it uses less digits than its factorization.

12210222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12210222100 its reverse (122201221), we get a palindrome (12332423321).

The spelling of 12210222100 in words is "twelve billion, two hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 263 398 526 796 995 1052 1315 1990 2333 2630 3980 4666 4975 5260 6575 9332 9950 11665 13150 19900 23330 26300 46660 52337 58325 104674 116650 209348 233300 261685 464267 523370 613579 928534 1046740 1227158 1308425 1857068 2321335 2454316 2616850 3067895 4642670 5233700 6135790 9285340 11606675 12271580 15339475 23213350 30678950 46426700 61357900 122102221 244204442 488408884 610511105 1221022210 2442044420 3052555525 6105111050 12210222100