Search a number
-
+
221032113300 = 223252376637601
BaseRepresentation
bin1100110111011010001…
…0100110010010010100
3210010112002220202000200
43031312202212102110
512110133210111200
6245312445140500
721653244651405
oct3156642462224
9703462822020
10221032113300
1185814958219
1236a0725a730
1317ac6798b2b
14a9ab4b39ac
155b39b16800
hex33768a6494

221032113300 has 108 divisors (see below), whose sum is σ = 711537659196. Its totient is φ = 57348864000.

The previous prime is 221032113293. The next prime is 221032113311. The reversal of 221032113300 is 3311230122.

221032113300 is a `hidden beast` number, since 2 + 2 + 10 + 321 + 1 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5793645456 + 215238467844 = 76116^2 + 463938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3285501 + ... + 3352100.

Almost surely, 2221032113300 is an apocalyptic number.

221032113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221032113300 is an abundant number, since it is smaller than the sum of its proper divisors (490505545896).

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

221032113300 is a wasteful number, since it uses less digits than its factorization.

221032113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637658 (or 6637648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221032113300 its reverse (3311230122), we get a palindrome (224343343422).

The spelling of 221032113300 in words is "two hundred twenty-one billion, thirty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 6637601 13275202 19912803 26550404 33188005 39825606 59738409 66376010 79651212 99564015 119476818 132752020 165940025 199128030 238953636 245591237 298692045 331880050 398256060 491182474 497820075 597384090 663760100 736773711 982364948 995640150 1194768180 1227956185 1473547422 1493460225 1991280300 2210321133 2455912370 2947094844 2986920450 3683868555 4420642266 4911824740 5973840900 6139780925 7367737110 8841284532 11051605665 12279561850 14735474220 18419342775 22103211330 24559123700 36838685550 44206422660 55258028325 73677371100 110516056650 221032113300