Search a number
-
+
1322043410112 = 263374322918899
BaseRepresentation
bin10011001111001111111…
…011011000011011000000
311200101102110220201011220
4103033033323120123000
5133130021103110422
62451201030235040
7164341316400225
oct23171773303300
94611373821156
101322043410112
1146a7480484a7
121942797b5a80
139788bc38189
1447db6dc994c
15245c927ae5c
hex133cfed86c0

1322043410112 has 224 divisors, whose sum is σ = 3692237472000. Its totient is φ = 416948539392.

The previous prime is 1322043410053. The next prime is 1322043410159. The reversal of 1322043410112 is 2110143402231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 69943639 + ... + 69962537.

It is an arithmetic number, because the mean of its divisors is an integer number (16483203000).

Almost surely, 21322043410112 is an apocalyptic number.

1322043410112 is a gapful number since it is divisible by the number (12) 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 1322043410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846118736000).

1322043410112 is an abundant number, since it is smaller than the sum of its proper divisors (2370194061888).

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

1322043410112 is a wasteful number, since it uses less digits than its factorization.

1322043410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19223 (or 19213 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1322043410112 its reverse (2110143402231), we get a palindrome (3432186812343).

The spelling of 1322043410112 in words is "one trillion, three hundred twenty-two billion, forty-three million, four hundred ten thousand, one hundred twelve".