Search a number
-
+
11421410220 = 2232511217109283
BaseRepresentation
bin10101010001100010…
…01110001110101100
31002110222101202101100
422220301032032230
5141342340111340
65125200243100
7553014246033
oct125061161654
932428352340
1011421410220
1149310a7600
122269010490
1311003241cc
147a4c4971a
1546ca81830
hex2a8c4e3ac

11421410220 has 432 divisors, whose sum is σ = 40834553760. Its totient is φ = 2572922880.

The previous prime is 11421410191. The next prime is 11421410239. The reversal of 11421410220 is 2201412411.

11421410220 is a `hidden beast` number, since 1 + 14 + 21 + 410 + 220 = 666.

It is a super-2 number, since 2×114214102202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11421410193 and 11421410202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40358199 + ... + 40358481.

It is an arithmetic number, because the mean of its divisors is an integer number (94524430).

Almost surely, 211421410220 is an apocalyptic number.

11421410220 is a gapful number since it is divisible by the number (10) 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 11421410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417276880).

11421410220 is an abundant number, since it is smaller than the sum of its proper divisors (29413143540).

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

11421410220 is a wasteful number, since it uses less digits than its factorization.

11421410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11421410220 its reverse (2201412411), we get a palindrome (13622822631).

The spelling of 11421410220 in words is "eleven billion, four hundred twenty-one million, four hundred ten thousand, two hundred twenty".