Search a number
-
+
11321112214432 = 252967975693299
BaseRepresentation
bin1010010010111110011011…
…0111110011101110100000
31111002021202202221022200101
42210233212313303232200
52440441114211330212
640024502552432144
72245631500030366
oct244574667635640
944067682838611
1011321112214432
113675290782409
12132a1356a8654
13641765196a27
142b1d3259b636
1514974c57e157
hexa4be6df3ba0

11321112214432 has 192 divisors, whose sum is σ = 23691119760000. Its totient is φ = 5317312315392.

The previous prime is 11321112214421. The next prime is 11321112214441. The reversal of 11321112214432 is 23441221112311.

It is a super-2 number, since 2×113211122144322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11321112214432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3431678319 + ... + 3431681617.

It is an arithmetic number, because the mean of its divisors is an integer number (123391248750).

Almost surely, 211321112214432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321112214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845559880000).

11321112214432 is an abundant number, since it is smaller than the sum of its proper divisors (12370007545568).

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

11321112214432 is a wasteful number, since it uses less digits than its factorization.

11321112214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4063 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 11321112214432 its reverse (23441221112311), we get a palindrome (34762333326743).

The spelling of 11321112214432 in words is "eleven trillion, three hundred twenty-one billion, one hundred twelve million, two hundred fourteen thousand, four hundred thirty-two".