Search a number
-
+
112220202102200 = 23521274877905909
BaseRepresentation
bin11001100001000001001101…
…010010000110110110111000
3112201100010221211111102220222
4121201001031102012312320
5104202103433214232300
61034401125452035212
732431433136150023
oct3141011522066670
9481303854442828
10112220202102200
113283635856a605
121070503a762b08
134a8042037170a
141d9d6b59661ba
15ce9189502785
hex66104d486db8

112220202102200 has 96 divisors (see below), whose sum is σ = 263020604889600. Its totient is φ = 44525450672640.

The previous prime is 112220202102143. The next prime is 112220202102457. The reversal of 112220202102200 is 2201202022211.

It is a happy number.

It is a super-2 number, since 2×1122202021022002 (a number of 29 digits) contains 22 as substring.

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, 123422846 + ... + 124328754.

It is an arithmetic number, because the mean of its divisors is an integer number (2739797967600).

Almost surely, 2112220202102200 is an apocalyptic number.

112220202102200 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 112220202102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131510302444800).

112220202102200 is an abundant number, since it is smaller than the sum of its proper divisors (150800402787400).

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

112220202102200 is a wasteful number, since it uses less digits than its factorization.

112220202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910929 (or 910920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 112220202102200 its reverse (2201202022211), we get a palindrome (114421404124411).

The spelling of 112220202102200 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 4877 5080 6350 9754 12700 19508 24385 25400 39016 48770 97540 121925 195080 243850 487700 619379 905909 975400 1238758 1811818 2477516 3096895 3623636 4529545 4955032 6193790 7247272 9059090 12387580 15484475 18118180 22647725 24775160 30968950 36236360 45295450 61937900 90590900 115050443 123875800 181181800 230100886 460201772 575252215 920403544 1150504430 2301008860 2876261075 4418118193 4602017720 5752522150 8836236386 11505044300 17672472772 22090590965 23010088600 35344945544 44181181930 88362363860 110452954825 176724727720 220905909650 441811819300 561101010511 883623638600 1122202021022 2244404042044 2805505052555 4488808084088 5611010105110 11222020210220 14027525262775 22444040420440 28055050525550 56110101051100 112220202102200