Search a number
-
+
20233110003300 = 223252371204150461
BaseRepresentation
bin1001001100110111000110…
…10101011001111001100100
32122122021012020001122000200
410212123203111121321210
510122444402130101200
6111010543514310500
74155536220244515
oct446334325317144
978567166048020
1020233110003300
1164a08a5136827
12232938b728430
13b39c880b622c
144dd405826a0c
15251499ea6800
hex1266e3559e64

20233110003300 has 216 divisors, whose sum is σ = 65140301581992. Its totient is φ = 5249131776000.

The previous prime is 20233110003167. The next prime is 20233110003317. The reversal of 20233110003300 is 330001133202.

20233110003300 is a `hidden beast` number, since 2 + 0 + 2 + 331 + 1 + 0 + 0 + 0 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 101089658916 + 20132020344384 = 317946^2 + 4486872^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 400940070 + ... + 400990530.

It is an arithmetic number, because the mean of its divisors is an integer number (301575470287).

Almost surely, 220233110003300 is an apocalyptic number.

20233110003300 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 20233110003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32570150790996).

20233110003300 is an abundant number, since it is smaller than the sum of its proper divisors (44907191578692).

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

20233110003300 is a wasteful number, since it uses less digits than its factorization.

20233110003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62559 (or 62549 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20233110003300 its reverse (330001133202), we get a palindrome (20563111136502).

The spelling of 20233110003300 in words is "twenty trillion, two hundred thirty-three billion, one hundred ten million, three thousand, three hundred".