Search a number
-
+
11321113031130 = 23571929214922643
BaseRepresentation
bin1010010010111110011011…
…1010111011000111011010
31111002021202211110210222110
42210233212322323013122
52440441114413444010
640024503022133150
72245631510001420
oct244574672730732
944067684423873
1011321113031130
11367529118aa71
12132a135a211b6
136417653c1696
142b1d32731110
1514974c691120
hexa4be6ebb1da

11321113031130 has 384 divisors, whose sum is σ = 34081212672000. Its totient is φ = 2350965593088.

The previous prime is 11321113031087. The next prime is 11321113031251. The reversal of 11321113031130 is 3113031112311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11321113031097 and 11321113031106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499971589 + ... + 499994231.

It is an arithmetic number, because the mean of its divisors is an integer number (88753158000).

Almost surely, 211321113031130 is an apocalyptic number.

11321113031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321113031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040606336000).

11321113031130 is an abundant number, since it is smaller than the sum of its proper divisors (22760099640870).

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

11321113031130 is a wasteful number, since it uses less digits than its factorization.

11321113031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22886 (or 22857 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11321113031130 its reverse (3113031112311), we get a palindrome (14434144143441).

The spelling of 11321113031130 in words is "eleven trillion, three hundred twenty-one billion, one hundred thirteen million, thirty-one thousand, one hundred thirty".