Search a number
-
+
11133243000 = 233253111071051
BaseRepresentation
bin10100101111001011…
…11100111001111000
31001201220011100021100
422113211330321320
5140300102234000
65040424011400
7542615001255
oct122745747170
931656140240
1011133243000
1147a3475280
1221a8600b60
13108570a269
1477887642c
1545260da00
hex29797ce78

11133243000 has 384 divisors, whose sum is σ = 41474384640. Its totient is φ = 2671200000.

The previous prime is 11133242993. The next prime is 11133243013. The reversal of 11133243000 is 34233111.

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 95 ways as a sum of consecutive naturals, for example, 10592475 + ... + 10593525.

It is an arithmetic number, because the mean of its divisors is an integer number (108006210).

Almost surely, 211133243000 is an apocalyptic number.

11133243000 is a gapful number since it is divisible by the number (10) 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 11133243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737192320).

11133243000 is an abundant number, since it is smaller than the sum of its proper divisors (30341141640).

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

11133243000 is a wasteful number, since it uses less digits than its factorization.

11133243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11133243000 its reverse (34233111), we get a palindrome (11167476111).

The spelling of 11133243000 in words is "eleven billion, one hundred thirty-three million, two hundred forty-three thousand".