Search a number
-
+
11201211222210 = 23251072115999203
BaseRepresentation
bin1010001011111111110000…
…1101110100100011000010
31110122211021200001211022200
42202333330031310203002
52432010040033102320
635453433154214030
72234155312305402
oct242777415644302
943584250054280
1011201211222210
1136294527a12a9
12130aa52b84316
13633367666659
142aa1da468802
15146581134290
hexa2ffc3748c2

11201211222210 has 192 divisors, whose sum is σ = 29587163673600. Its totient is φ = 2939813735040.

The previous prime is 11201211222137. The next prime is 11201211222217. The reversal of 11201211222210 is 1222211210211.

11201211222210 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 211 + 222 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11201211222217) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1217121469 + ... + 1217130671.

It is an arithmetic number, because the mean of its divisors is an integer number (154099810800).

Almost surely, 211201211222210 is an apocalyptic number.

11201211222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201211222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793581836800).

11201211222210 is an abundant number, since it is smaller than the sum of its proper divisors (18385952451390).

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

11201211222210 is a wasteful number, since it uses less digits than its factorization.

11201211222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201211222210 its reverse (1222211210211), we get a palindrome (12423422432421).

The spelling of 11201211222210 in words is "eleven trillion, two hundred one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred ten".