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3102113222200 = 2352113213764231
BaseRepresentation
bin101101001001000100010…
…110110100111000111000
3101222120002121022102120201
4231021010112310320320
5401311111441102300
610333031404131544
7440056154216206
oct55110426647070
911876077272521
103102113222200
11a96665050a03
12421263536bb4
131966b30a9885
14aa200886076
1555a5e25866a
hex2d2445b4e38

3102113222200 has 96 divisors (see below), whose sum is σ = 7279758128160. Its totient is φ = 1229269708800.

The previous prime is 3102113222191. The next prime is 3102113222203. The reversal of 3102113222200 is 22223112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102113222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48264085 + ... + 48328315.

It is an arithmetic number, because the mean of its divisors is an integer number (75830813835).

Almost surely, 23102113222200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102113222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639879064080).

3102113222200 is an abundant number, since it is smaller than the sum of its proper divisors (4177644905960).

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

3102113222200 is a wasteful number, since it uses less digits than its factorization.

3102113222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66497 (or 66488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 3102113222200 its reverse (22223112013), we get a palindrome (3124336334213).

The spelling of 3102113222200 in words is "three trillion, one hundred two billion, one hundred thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2137 2260 2825 4274 4520 5650 8548 10685 11300 17096 21370 22600 42740 53425 64231 85480 106850 128462 213700 241481 256924 321155 427400 482962 513848 642310 965924 1207405 1284620 1605775 1931848 2414810 2569240 3211550 4829620 6037025 6423100 7258103 9659240 12074050 12846200 14516206 24148100 29032412 36290515 48296200 58064824 72581030 137261647 145162060 181452575 274523294 290324120 362905150 549046588 686308235 725810300 1098093176 1372616470 1451620600 2745232940 3431541175 5490465880 6863082350 13726164700 15510566111 27452329400 31021132222 62042264444 77552830555 124084528888 155105661110 310211322220 387764152775 620422644440 775528305550 1551056611100 3102113222200