Search a number
-
+
1122252300000 = 2533551331973
BaseRepresentation
bin10000010101001011011…
…100110001111011100000
310222021201200200201202000
4100111023130301323200
5121341333042100000
62215320001324000
7144036313104516
oct20251334617340
93867650621660
101122252300000
113a2a43191377
12161600036600
1381a9bc967b0
143c4629624b6
151e2d431a000
hex1054b731ee0

1122252300000 has 576 divisors, whose sum is σ = 4406134864320. Its totient is φ = 276238080000.

The previous prime is 1122252299989. The next prime is 1122252300023. The reversal of 1122252300000 is 32522211.

1122252300000 is a `hidden beast` number, since 112 + 2 + 252 + 300 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 35084014 + ... + 35115986.

It is an arithmetic number, because the mean of its divisors is an integer number (7649539695).

Almost surely, 21122252300000 is an apocalyptic number.

1122252300000 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 1122252300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203067432160).

1122252300000 is an abundant number, since it is smaller than the sum of its proper divisors (3283882564320).

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

1122252300000 is an equidigital number, since it uses as much as digits as its factorization.

1122252300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32030 (or 31996 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1122252300000 its reverse (32522211), we get a palindrome (1122284822211).

The spelling of 1122252300000 in words is "one trillion, one hundred twenty-two billion, two hundred fifty-two million, three hundred thousand".