Search a number
-
+
200221200022122 = 23211123400001229
BaseRepresentation
bin101101100001100110100001…
…100000001111101001101010
3222020220221220200111110012100
4231201212201200033221222
5202220411004201201442
61545500203253354230
760113334662425266
oct5541464140175152
9866827820443170
10200221200022122
1158884374724994
121a558262938976
138794a16787236
143762a875250a6
15182332d7c184c
hexb619a180fa6a

200221200022122 has 12 divisors (see below), whose sum is σ = 433812600047970. Its totient is φ = 66740400007368.

The previous prime is 200221200022091. The next prime is 200221200022133. The reversal of 200221200022122 is 221220002122002.

200221200022122 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 200 + 0 + 221 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115540549542441 + 84680650479681 = 10748979^2 + 9202209^2 .

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: 11123400001229 = 200221200022122 / (2 + 0 + 0 + 2 + 2 + 1 + 2 + 0 + 0 + 0 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 200221200022095 and 200221200022104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561700000597 + ... + 5561700000632.

Almost surely, 2200221200022122 is an apocalyptic number.

200221200022122 is an abundant number, since it is smaller than the sum of its proper divisors (233591400025848).

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

200221200022122 is a wasteful number, since it uses less digits than its factorization.

200221200022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123400001237 (or 11123400001234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200221200022122 its reverse (221220002122002), we get a palindrome (421441202144124).

The spelling of 200221200022122 in words is "two hundred trillion, two hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11123400001229 22246800002458 33370200003687 66740400007374 100110600011061 200221200022122