Search a number
-
+
1133044242000 = 243531127321379
BaseRepresentation
bin10000011111001110101…
…100110001011001010000
311000022120210122012001120
4100133032230301121100
5122030433311221000
62224302514202240
7144600615102336
oct20371654613120
94008523565046
101133044242000
113a7580a33100
12163712283380
1382acba751a8
143cba7d53b56
151e7169ac6a0
hex107ceb31650

1133044242000 has 480 divisors, whose sum is σ = 4070402394240. Its totient is φ = 270902016000.

The previous prime is 1133044241977. The next prime is 1133044242007. The reversal of 1133044242000 is 2424403311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133044242007) by changing a digit.

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, 52987311 + ... + 53008689.

It is an arithmetic number, because the mean of its divisors is an integer number (8480004988).

Almost surely, 21133044242000 is an apocalyptic number.

1133044242000 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 1133044242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035201197120).

1133044242000 is an abundant number, since it is smaller than the sum of its proper divisors (2937358152240).

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

1133044242000 is a wasteful number, since it uses less digits than its factorization.

1133044242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21500 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1133044242000 its reverse (2424403311), we get a palindrome (1135468645311).

The spelling of 1133044242000 in words is "one trillion, one hundred thirty-three billion, forty-four million, two hundred forty-two thousand".