Search a number
-
+
12322101210200 = 2352137607374051
BaseRepresentation
bin1011001101001111011001…
…1101110010110001011000
31121121222111102022221022022
42303103312131302301120
53103341130402211300
642112410052514012
72411146104066125
oct263236635626130
947558442287268
1012322101210200
113a20856995481
12147013291b908
136b4c7a318a62
143085700c974c
151657d5a51285
hexb34f6772c58

12322101210200 has 96 divisors (see below), whose sum is σ = 28863142886160. Its totient is φ = 4891991808000.

The previous prime is 12322101210191. The next prime is 12322101210239. The reversal of 12322101210200 is 201210122321.

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, 166363175 + ... + 166437225.

Almost surely, 212322101210200 is an apocalyptic number.

12322101210200 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 12322101210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431571443080).

12322101210200 is an abundant number, since it is smaller than the sum of its proper divisors (16541041675960).

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

12322101210200 is a wasteful number, since it uses less digits than its factorization.

12322101210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80277 (or 80268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12322101210200 its reverse (201210122321), we get a palindrome (12523311332521).

The spelling of 12322101210200 in words is "twelve trillion, three hundred twenty-two billion, one hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6073 6850 12146 13700 24292 27400 30365 48584 60730 74051 121460 148102 151825 242920 296204 303650 370255 592408 607300 740510 832001 1214600 1481020 1664002 1851275 2962040 3328004 3702550 4160005 6656008 7405100 8320010 10144987 14810200 16640020 20289974 20800025 33280040 40579948 41600050 50724935 81159896 83200100 101449870 166400200 202899740 253624675 405799480 449711723 507249350 899423446 1014498700 1798846892 2028997400 2248558615 3597693784 4497117230 8994234460 11242793075 17988468920 22485586150 44971172300 61610506051 89942344600 123221012102 246442024204 308052530255 492884048408 616105060510 1232210121020 1540262651275 2464420242040 3080525302550 6161050605100 12322101210200