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2212111100 = 2252195712039
BaseRepresentation
bin1000001111011010…
…0010001011111100
312201011110212221202
42003312202023330
514012300023400
61003301115032
7105550430333
oct20366421374
95634425852
102212111100
11a357518a1
125189b8a78
132933b20a4
1416db10d1a
15ce3104d5
hex83da22fc

2212111100 has 72 divisors (see below), whose sum is σ = 5064259200. Its totient is φ = 836395200.

The previous prime is 2212111079. The next prime is 2212111133. The reversal of 2212111100 is 11112122.

2212111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1083881 + ... + 1085919.

Almost surely, 22212111100 is an apocalyptic number.

2212111100 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 2212111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532129600).

2212111100 is an abundant number, since it is smaller than the sum of its proper divisors (2852148100).

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

2212111100 is a wasteful number, since it uses less digits than its factorization.

2212111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2212111100 is about 47033.0851635314. The cubic root of 2212111100 is about 1302.9736857509.

Adding to 2212111100 its reverse (11112122), we get a palindrome (2223223222).

The spelling of 2212111100 in words is "two billion, two hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 571 950 1142 1900 2039 2284 2855 4078 5710 8156 10195 10849 11420 14275 20390 21698 28550 38741 40780 43396 50975 54245 57100 77482 101950 108490 154964 193705 203900 216980 271225 387410 542450 774820 968525 1084900 1164269 1937050 2328538 3874100 4657076 5821345 11642690 22121111 23285380 29106725 44242222 58213450 88484444 110605555 116426900 221211110 442422220 553027775 1106055550 2212111100