Search a number
-
+
212022100021212 = 2233132713889143287
BaseRepresentation
bin110000001101010100111101…
…111101001100111111011100
31000210201010002200210120011000
4300031110331331030333130
5210242232230101134322
62030533335203430300
762442043201366665
oct6015247575147734
91023633080716130
10212022100021212
116161408206a198
121b943378385390
13913c7a1450aa0
143a4dcd277c36c
15197a2ac2993ac
hexc0d53df4cfdc

212022100021212 has 192 divisors, whose sum is σ = 594311854796800. Its totient is φ = 64979673707520.

The previous prime is 212022100021211. The next prime is 212022100021213. The reversal of 212022100021212 is 212120001220212.

It is a happy number.

212022100021212 is a `hidden beast` number, since 21 + 202 + 210 + 0 + 0 + 21 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (212022100021211) and next prime (212022100021213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022100021211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479630633 + ... + 1479773919.

Almost surely, 2212022100021212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022100021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297155927398400).

212022100021212 is an abundant number, since it is smaller than the sum of its proper divisors (382289754775588).

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

212022100021212 is a wasteful number, since it uses less digits than its factorization.

212022100021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147473 (or 147465 counting only the distinct ones).

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

Adding to 212022100021212 its reverse (212120001220212), we get a palindrome (424142101241424).

The spelling of 212022100021212 in words is "two hundred twelve trillion, twenty-two billion, one hundred million, twenty-one thousand, two hundred twelve".