Search a number
-
+
20011113322200 = 23325272111337137313
BaseRepresentation
bin1001000110011001100110…
…10011010001011011011000
32121212001011220010202201200
410203030303103101123120
510110330230002302300
6110320551211114200
74133520020504100
oct443146323213330
977761156122650
1020011113322200
116415735866540
1222b2355442960
13b22069837930
144d27861ca200
1524a80585c200
hex1233334d16d8

20011113322200 has 3456 divisors, whose sum is σ = 95317528662720. Its totient is φ = 3695453798400.

The previous prime is 20011113322171. The next prime is 20011113322231. The reversal of 20011113322200 is 222331111002.

20011113322200 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 111 + 332 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 63933269244 + ... + 63933269556.

Almost surely, 220011113322200 is an apocalyptic number.

20011113322200 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 20011113322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47658764331360).

20011113322200 is an abundant number, since it is smaller than the sum of its proper divisors (75306415340520).

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

20011113322200 is a wasteful number, since it uses less digits than its factorization.

20011113322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20011113322200 its reverse (222331111002), we get a palindrome (20233444433202).

The spelling of 20011113322200 in words is "twenty trillion, eleven billion, one hundred thirteen million, three hundred twenty-two thousand, two hundred".