Search a number
-
+
11202212002122 = 232622345111229
BaseRepresentation
bin1010001100000011011111…
…0111011111100101001010
31110122220212102012201021100
42203000313313133211022
52432014112233031442
635454120344322230
72234222153635161
oct243006767374512
943586772181240
1011202212002122
1136299166a8039
12130b092173376
13633496ab780b
142aa29333a3d8
151465dde1b84c
hexa3037ddf94a

11202212002122 has 12 divisors (see below), whose sum is σ = 24271459337970. Its totient is φ = 3734070667368.

The previous prime is 11202212002073. The next prime is 11202212002129. The reversal of 11202212002122 is 22120021220211.

It is a happy number.

11202212002122 is a `hidden beast` number, since 1 + 120 + 221 + 200 + 2 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9518884802361 + 1683327199761 = 3085269^2 + 1297431^2 .

It is a super-3 number, since 3×112022120021223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 622345111229 = 11202212002122 / (1 + 1 + 2 + 0 + 2 + 2 + 1 + 2 + 0 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 11202212002095 and 11202212002104.

It is not an unprimeable number, because it can be changed into a prime (11202212002129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311172555597 + ... + 311172555632.

Almost surely, 211202212002122 is an apocalyptic number.

11202212002122 is an abundant number, since it is smaller than the sum of its proper divisors (13069247335848).

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

11202212002122 is a wasteful number, since it uses less digits than its factorization.

11202212002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622345111237 (or 622345111234 counting only the distinct ones).

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

Adding to 11202212002122 its reverse (22120021220211), we get a palindrome (33322233222333).

The spelling of 11202212002122 in words is "eleven trillion, two hundred two billion, two hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 622345111229 1244690222458 1867035333687 3734070667374 5601106001061 11202212002122