Search a number
-
+
220100011100 = 225223211345289
BaseRepresentation
bin1100110011111011111…
…0111010010001011100
3210001010011000001011222
43030332332322101130
512101231100323400
6245040151032512
721621166140314
oct3147676722134
9701104001158
10220100011100
118538679a022
12367a706b738
13179a8642678
14a91d79c444
155ad2d98185
hex333efba45c

220100011100 has 72 divisors (see below), whose sum is σ = 498629856480. Its totient is φ = 84170465280.

The previous prime is 220100011081. The next prime is 220100011133. The reversal of 220100011100 is 1110001022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4837256 + ... + 4882544.

Almost surely, 2220100011100 is an apocalyptic number.

220100011100 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 220100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249314928240).

220100011100 is an abundant number, since it is smaller than the sum of its proper divisors (278529845380).

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

220100011100 is a wasteful number, since it uses less digits than its factorization.

220100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47439 (or 47432 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 220100011100 its reverse (1110001022), we get a palindrome (221210012122).

The spelling of 220100011100 in words is "two hundred twenty billion, one hundred million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2113 2300 4226 8452 10565 21130 42260 45289 48599 52825 90578 97198 105650 181156 194396 211300 226445 242995 452890 485990 905780 971980 1041647 1132225 1214975 2083294 2264450 2429950 4166588 4528900 4859900 5208235 10416470 20832940 26041175 52082350 95695657 104164700 191391314 382782628 478478285 956956570 1913913140 2201000111 2392391425 4402000222 4784782850 8804000444 9569565700 11005000555 22010001110 44020002220 55025002775 110050005550 220100011100