Search a number
-
+
20221200121320 = 233251111345189059
BaseRepresentation
bin1001001100100000111010…
…11100110011110111101000
32122121010110012111221100200
410212100131130303313220
510122301004212340240
6111001254024232200
74154635122024522
oct446203534636750
978533405457320
1020221200121320
116496843337160
12232700700b660
13b38b0a8152a3
144dc9d5b86a12
15250eee5d7930
hex12641d733de8

20221200121320 has 192 divisors, whose sum is σ = 72327801873600. Its totient is φ = 4858727516160.

The previous prime is 20221200121313. The next prime is 20221200121351. The reversal of 20221200121320 is 2312100212202.

20221200121320 is a `hidden beast` number, since 2 + 0 + 2 + 21 + 200 + 121 + 320 = 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 = 20221200121293 and 20221200121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22147050 + ... + 23042009.

It is an arithmetic number, because the mean of its divisors is an integer number (376707301425).

Almost surely, 220221200121320 is an apocalyptic number.

20221200121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221200121320 is an abundant number, since it is smaller than the sum of its proper divisors (52106601752280).

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

20221200121320 is a wasteful number, since it uses less digits than its factorization.

20221200121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45189200 (or 45189193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20221200121320 its reverse (2312100212202), we get a palindrome (22533300333522).

The spelling of 20221200121320 in words is "twenty trillion, two hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, three hundred twenty".