Search a number
-
+
11332112231000 = 23531110127773673
BaseRepresentation
bin1010010011100111011010…
…0001100010101001011000
31111010100011101102001122102
42210321312201202221120
52441131131212343000
640033522301142532
72246501206442501
oct244716641425130
944110141361572
1011332112231000
113679a15a216a0
1213302a555aa48
136427c90c8a82
142b2697473ba8
15149b931233d5
hexa4e76862a58

11332112231000 has 256 divisors, whose sum is σ = 29232682427520. Its totient is φ = 4077388800000.

The previous prime is 11332112230973. The next prime is 11332112231047. The reversal of 11332112231000 is 13221123311.

It is a happy number.

It is a super-2 number, since 2×113321122310002 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3085245164 + ... + 3085248836.

Almost surely, 211332112231000 is an apocalyptic number.

11332112231000 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 11332112231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616341213760).

11332112231000 is an abundant number, since it is smaller than the sum of its proper divisors (17900570196520).

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

11332112231000 is a wasteful number, since it uses less digits than its factorization.

11332112231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11332112231000 its reverse (13221123311), we get a palindrome (11345333354311).

It can be divided in two parts, 113321 and 12231000, that added together give a palindrome (12344321).

The spelling of 11332112231000 in words is "eleven trillion, three hundred thirty-two billion, one hundred twelve million, two hundred thirty-one thousand".