Search a number
-
+
11321103231000 = 23325337101409823
BaseRepresentation
bin1010010010111110011001…
…0101100010100000011000
31111002021202011000220201200
42210233212111202200120
52440441104411343000
640024502032114200
72245631330463543
oct244574625424030
944067664026650
1011321103231000
1136752866a6a92
12132a132695960
1364176336caa4
142b1d312dd85a
1514974b8a7500
hexa4be6562818

11321103231000 has 768 divisors, whose sum is σ = 39834011692800. Its totient is φ = 2897648640000.

The previous prime is 11321103230939. The next prime is 11321103231017. The reversal of 11321103231000 is 13230112311.

11321103231000 is a `hidden beast` number, since 1 + 1 + 321 + 1 + 0 + 32 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×113211032310002 (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13755896589 + ... + 13755897411.

It is an arithmetic number, because the mean of its divisors is an integer number (51867202725).

Almost surely, 211321103231000 is an apocalyptic number.

11321103231000 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 11321103231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917005846400).

11321103231000 is an abundant number, since it is smaller than the sum of its proper divisors (28512908461800).

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

11321103231000 is a wasteful number, since it uses less digits than its factorization.

11321103231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11321103231000 its reverse (13230112311), we get a palindrome (11334333343311).

The spelling of 11321103231000 in words is "eleven trillion, three hundred twenty-one billion, one hundred three million, two hundred thirty-one thousand".