Search a number
-
+
20221113123200 = 275211587978643
BaseRepresentation
bin1001001100100000110000…
…10000111100000110000000
32122121010020010210222101002
410212100120100330012000
510122300314424420300
6111001241235431132
74154633014403633
oct446203020740600
978533203728332
1020221113123200
1164967a9216190
122326ba1a554a8
13b38ac57a4802
144dc9c83bbc1a
15250ee6b505d5
hex12641843c180

20221113123200 has 192 divisors, whose sum is σ = 54586491865920. Its totient is φ = 7340597913600.

The previous prime is 20221113123191. The next prime is 20221113123217. The reversal of 20221113123200 is 232131112202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20173079 + ... + 21151721.

It is an arithmetic number, because the mean of its divisors is an integer number (284304645135).

Almost surely, 220221113123200 is an apocalyptic number.

20221113123200 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 20221113123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293245932960).

20221113123200 is an abundant number, since it is smaller than the sum of its proper divisors (34365378742720).

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

20221113123200 is a wasteful number, since it uses less digits than its factorization.

20221113123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979265 (or 979248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20221113123200 its reverse (232131112202), we get a palindrome (20453244235402).

The spelling of 20221113123200 in words is "twenty trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred".