Search a number
-
+
12210320200 = 2352135388609
BaseRepresentation
bin10110101111100101…
…01011001101001000
31011111221212112102111
423113302223031020
5200001320221300
65335341312104
7611404003111
oct132762531510
934457775374
1012210320200
1151a6453321
122449265634
1311c78c3350
1483b929208
154b6e679ba
hex2d7cab348

12210320200 has 96 divisors (see below), whose sum is σ = 31149959400. Its totient is φ = 4423311360.

The previous prime is 12210320197. The next prime is 12210320231. The reversal of 12210320200 is 202301221.

It can be written as a sum of positive squares in 12 ways, for example, as 2758980676 + 9451339524 = 52526^2 + 97218^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 93496 + ... + 182104.

Almost surely, 212210320200 is an apocalyptic number.

12210320200 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 12210320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574979700).

12210320200 is an abundant number, since it is smaller than the sum of its proper divisors (18939639200).

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

12210320200 is a wasteful number, since it uses less digits than its factorization.

12210320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88691 (or 88682 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12210320200 its reverse (202301221), we get a palindrome (12412621421).

The spelling of 12210320200 in words is "twelve billion, two hundred ten million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 68900 88609 137800 177218 354436 443045 708872 886090 1151917 1772180 2215225 2303834 3544360 4430450 4607668 4696277 5759585 8860900 9215336 9392554 11519170 17721800 18785108 23038340 23481385 28797925 37570216 46076680 46962770 57595850 61051601 93925540 115191700 117406925 122103202 187851080 230383400 234813850 244206404 305258005 469627700 488412808 610516010 939255400 1221032020 1526290025 2442064040 3052580050 6105160100 12210320200