Search a number
-
+
1112021000200 = 235211294748523
BaseRepresentation
bin10000001011101001100…
…111011110000000001000
310221022022122200211221101
4100023221213132000020
5121204404334001300
62210504433151144
7143224626354235
oct20135147360010
93838278624841
101112021000200
11399672956400
1215b6256bb4b4
1380b2b3b3546
143bb71bd078c
151ddd5ebdb6a
hex102e99de008

1112021000200 has 144 divisors (see below), whose sum is σ = 2844916507440. Its totient is φ = 403935945600.

The previous prime is 1112021000183. The next prime is 1112021000227. The reversal of 1112021000200 is 20001202111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22893139 + ... + 22941661.

It is an arithmetic number, because the mean of its divisors is an integer number (19756364635).

Almost surely, 21112021000200 is an apocalyptic number.

1112021000200 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 1112021000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422458253720).

1112021000200 is an abundant number, since it is smaller than the sum of its proper divisors (1732895507240).

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

1112021000200 is a wasteful number, since it uses less digits than its factorization.

1112021000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49508 (or 49488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1112021000200 its reverse (20001202111), we get a palindrome (1132022202311).

The spelling of 1112021000200 in words is "one trillion, one hundred twelve billion, twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 947 968 1100 1210 1894 2200 2420 3025 3788 4735 4840 6050 7576 9470 10417 12100 18940 20834 23675 24200 37880 41668 47350 48523 52085 83336 94700 97046 104170 114587 189400 194092 208340 229174 242615 260425 388184 416680 458348 485230 520850 533753 572935 916696 970460 1041700 1067506 1145870 1213075 1940920 2083400 2135012 2291740 2426150 2668765 2864675 4270024 4583480 4852300 5337530 5729350 5871283 9704600 10675060 11458700 11742566 13343825 21350120 22917400 23485132 26687650 29356415 45951281 46970264 53375300 58712830 91902562 106750600 117425660 146782075 183805124 229756405 234851320 293564150 367610248 459512810 505464091 587128300 919025620 1010928182 1148782025 1174256600 1838051240 2021856364 2297564050 2527320455 4043712728 4595128100 5054640910 5560105001 9190256200 10109281820 11120210002 12636602275 20218563640 22240420004 25273204550 27800525005 44480840008 50546409100 55601050010 101092818200 111202100020 139002625025 222404200040 278005250050 556010500100 1112021000200