Search a number
-
+
2111012200 = 2352115771663
BaseRepresentation
bin111110111010011…
…0111110101101000
312110010020112100001
41331310313311220
513310404342300
6545250152344
7103212210343
oct17564676550
95403215301
102111012200
1199367a790
124aab826b4
1327847535b
1416051545a
15c54e016a
hex7dd37d68

2111012200 has 96 divisors (see below), whose sum is σ = 5366799360. Its totient is φ = 765849600.

The previous prime is 2111012159. The next prime is 2111012203. The reversal of 2111012200 is 22101112.

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

It is not an unprimeable number, because it can be changed into a prime (2111012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268569 + ... + 1270231.

It is an arithmetic number, because the mean of its divisors is an integer number (55904160).

Almost surely, 22111012200 is an apocalyptic number.

2111012200 is a gapful number since it is divisible by the number (20) 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 2111012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683399680).

2111012200 is an abundant number, since it is smaller than the sum of its proper divisors (3255787160).

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

2111012200 is a wasteful number, since it uses less digits than its factorization.

2111012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2258 counting only the distinct ones).

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

The square root of 2111012200 is about 45945.7527960964. The cubic root of 2111012200 is about 1282.8136754010.

Adding to 2111012200 its reverse (22101112), we get a palindrome (2133113312).

The spelling of 2111012200 in words is "two billion, one hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 577 1100 1154 1663 2200 2308 2885 3326 4616 5770 6347 6652 8315 11540 12694 13304 14425 16630 18293 23080 25388 28850 31735 33260 36586 41575 50776 57700 63470 66520 73172 83150 91465 115400 126940 146344 158675 166300 182930 253880 317350 332600 365860 457325 634700 731720 914650 959551 1269400 1829300 1919102 3658600 3838204 4797755 7676408 9595510 10555061 19191020 21110122 23988775 38382040 42220244 47977550 52775305 84440488 95955100 105550610 191910200 211101220 263876525 422202440 527753050 1055506100 2111012200