Search a number
-
+
212222101100 = 22524367772901
BaseRepresentation
bin1100010110100101101…
…1000100011001101100
3202021210010022202021112
43011221123010121230
511434112324213400
6241254332051152
721222030044552
oct3055133043154
9667703282245
10212222101100
11820039306a9
1235168903ab8
13170214a8869
14a3b33d5bd2
1557c1467835
hex31696c466c

212222101100 has 72 divisors (see below), whose sum is σ = 471934304688. Its totient is φ = 82791072000.

The previous prime is 212222101019. The next prime is 212222101121. The reversal of 212222101100 is 1101222212.

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, 2874650 + ... + 2947550.

Almost surely, 2212222101100 is an apocalyptic number.

212222101100 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 212222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235967152344).

212222101100 is an abundant number, since it is smaller than the sum of its proper divisors (259712203588).

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

212222101100 is a wasteful number, since it uses less digits than its factorization.

212222101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73635 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212222101100 its reverse (1101222212), we get a palindrome (213323323312).

The spelling of 212222101100 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 677 860 1075 1354 2150 2708 3385 4300 6770 13540 16925 29111 33850 58222 67700 72901 116444 145555 145802 291110 291604 364505 582220 727775 729010 1455550 1458020 1822525 2911100 3134743 3645050 6269486 7290100 12538972 15673715 31347430 49353977 62694860 78368575 98707954 156737150 197415908 246769885 313474300 493539770 987079540 1233849425 2122221011 2467698850 4244442022 4935397700 8488884044 10611105055 21222210110 42444420220 53055525275 106111050550 212222101100