Search a number
-
+
21112202210220 = 22325111719115328631
BaseRepresentation
bin1001100110011100100010…
…10100000010101110101100
32202202022021200010210000100
410303032101110002232230
510231400242231211340
6112522451203231100
74306210023564222
oct463162124025654
982668250123010
1021112202210220
1167aa6a8832190
12244b829978490
13ba1b450a2b34
1452db9c13cb12
1526929bbeb830
hex133391502bac

21112202210220 has 576 divisors, whose sum is σ = 77935241180160. Its totient is φ = 4559398502400.

The previous prime is 21112202210191. The next prime is 21112202210257. The reversal of 21112202210220 is 2201220221112.

It is a happy number.

21112202210220 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 220 + 221 + 0 + 220 = 666.

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 = 21112202210193 and 21112202210202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 737375305 + ... + 737403935.

It is an arithmetic number, because the mean of its divisors is an integer number (135304238160).

Almost surely, 221112202210220 is an apocalyptic number.

21112202210220 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 21112202210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38967620590080).

21112202210220 is an abundant number, since it is smaller than the sum of its proper divisors (56823038969940).

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

21112202210220 is a wasteful number, since it uses less digits than its factorization.

21112202210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29846 (or 29841 counting only the distinct ones).

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

Adding to 21112202210220 its reverse (2201220221112), we get a palindrome (23313422431332).

The spelling of 21112202210220 in words is "twenty-one trillion, one hundred twelve billion, two hundred two million, two hundred ten thousand, two hundred twenty".