Search a number
-
+
11102200000 = 265555511
BaseRepresentation
bin10100101011011111…
…00010000011000000
31001122201202012021121
422111233202003000
5140214130400000
65033354402024
7542060100013
oct122557420300
931581665247
1011102200000
1147879a2201
12219a130314
13107c15b618
147746b537a
1544ea2ab1a
hex295be20c0

11102200000 has 84 divisors (see below), whose sum is σ = 27537393744. Its totient is φ = 4440800000.

The previous prime is 11102199943. The next prime is 11102200033. The reversal of 11102200000 is 220111.

It is a super-3 number, since 3×111022000003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172245 + ... + 227755.

It is an arithmetic number, because the mean of its divisors is an integer number (327826116).

Almost surely, 211102200000 is an apocalyptic number.

11102200000 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 11102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768696872).

11102200000 is an abundant number, since it is smaller than the sum of its proper divisors (16435193744).

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

11102200000 is an frugal number, since it uses more digits than its factorization.

11102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55548 (or 55518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11102200000 its reverse (220111), we get a palindrome (11102420111).

The spelling of 11102200000 in words is "eleven billion, one hundred two million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 55511 100000 111022 200000 222044 277555 444088 555110 888176 1110220 1387775 1776352 2220440 2775550 3552704 4440880 5551100 6938875 8881760 11102200 13877750 17763520 22204400 27755500 34694375 44408800 55511000 69388750 88817600 111022000 138777500 173471875 222044000 277555000 346943750 444088000 555110000 693887500 1110220000 1387775000 2220440000 2775550000 5551100000 11102200000