Search a number
-
+
12211213200100 = 22521091120294789
BaseRepresentation
bin1011000110110010010100…
…0001100110101011100100
31121020101021102222101002021
42301230211001212223210
53100032031034400400
641545430501552524
72400142150415005
oct261544501465344
947211242871067
1012211213200100
113988823562222
121452746715744
136a7687b629b5
14303050dcb1ac
151629959e971a
hexb1b25066ae4

12211213200100 has 36 divisors (see below), whose sum is σ = 26741436637300. Its totient is φ = 4839673484160.

The previous prime is 12211213200097. The next prime is 12211213200143. The reversal of 12211213200100 is 100231211221.

It can be written as a sum of positive squares in 6 ways, for example, as 369851287716 + 11841361912384 = 608154^2 + 3441128^2 .

It is a super-2 number, since 2×122112132001002 (a number of 27 digits) contains 22 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, 560136495 + ... + 560158294.

Almost surely, 212211213200100 is an apocalyptic number.

12211213200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211213200100 is an abundant number, since it is smaller than the sum of its proper divisors (14530223437200).

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

12211213200100 is a wasteful number, since it uses less digits than its factorization.

12211213200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120294912 (or 1120294905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211213200100 its reverse (100231211221), we get a palindrome (12311444411321).

The spelling of 12211213200100 in words is "twelve trillion, two hundred eleven billion, two hundred thirteen million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 1120294789 2240589578 4481179156 5601473945 11202947890 22405895780 28007369725 56014739450 112029478900 122112132001 244224264002 488448528004 610560660005 1221121320010 2442242640020 3052803300025 6105606600050 12211213200100