Search a number
-
+
11332230332200 = 2352547791034359
BaseRepresentation
bin1010010011100111110110…
…0100000011111100101000
31111010100110121122020000221
42210321331210003330220
52441131401431112300
640033542120335424
72246504142335041
oct244717544037450
944110417566027
1011332230332200
113679a76656898
121330319014574
1364281770963b
142b26a90178c8
15149b9d6a131a
hexa4e7d903f28

11332230332200 has 48 divisors (see below), whose sum is σ = 26347941972000. Its totient is φ = 4532805001920.

The previous prime is 11332230332197. The next prime is 11332230332209. The reversal of 11332230332200 is 223303223311.

11332230332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11332230332209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10438621 + ... + 11472979.

It is an arithmetic number, because the mean of its divisors is an integer number (548915457750).

Almost surely, 211332230332200 is an apocalyptic number.

11332230332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332230332200 is an abundant number, since it is smaller than the sum of its proper divisors (15015711639800).

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

11332230332200 is a wasteful number, since it uses less digits than its factorization.

11332230332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089154 (or 1089145 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 11332230332200 its reverse (223303223311), we get a palindrome (11555533555511).

The spelling of 11332230332200 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 54779 109558 219116 273895 438232 547790 1034359 1095580 1369475 2068718 2191160 2738950 4137436 5171795 5477900 8274872 10343590 10955800 20687180 25858975 41374360 51717950 103435900 206871800 56661151661 113322303322 226644606644 283305758305 453289213288 566611516610 1133223033220 1416528791525 2266446066440 2833057583050 5666115166100 11332230332200