Search a number
-
+
211210110122220 = 2232511194722541559
BaseRepresentation
bin110000000001100000101111…
…100101100011100011101100
31000200211111012201112211210100
4300001200233211203203230
5210140431301142402340
62025112330214111100
762326266265211136
oct6001405745434354
91020744181484710
10211210110122220
1161330782a22970
121b831b2664b490
1390b1049468431
143a228a3ca8056
1519640d657e830
hexc0182f9638ec

211210110122220 has 432 divisors, whose sum is σ = 751684872556800. Its totient is φ = 47475490141440.

The previous prime is 211210110122191. The next prime is 211210110122233. The reversal of 211210110122220 is 22221011012112.

211210110122220 is a `hidden beast` number, since 2 + 1 + 1 + 210 + 110 + 122 + 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 = 211210110122193 and 211210110122202.

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, 81831801 + ... + 84373359.

Almost surely, 2211210110122220 is an apocalyptic number.

211210110122220 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 211210110122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375842436278400).

211210110122220 is an abundant number, since it is smaller than the sum of its proper divisors (540474762434580).

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

211210110122220 is a wasteful number, since it uses less digits than its factorization.

211210110122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541698 (or 2541646 counting only the distinct ones).

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

Adding to 211210110122220 its reverse (22221011012112), we get a palindrome (233431121134332).

The spelling of 211210110122220 in words is "two hundred eleven trillion, two hundred ten billion, one hundred ten million, one hundred twenty-two thousand, two hundred twenty".