Search a number
-
+
1200113341344 = 253317233796013
BaseRepresentation
bin10001011101101100010…
…101000101001110100000
311020201200221222110002000
4101131230111011032200
5124130313003410334
62315154025524000
7152463633042201
oct21355425051640
94221627873060
101200113341344
11422a68770125
1217470b643600
1389229c1cba8
144212b5cd5a8
152133eb28299
hex1176c5453a0

1200113341344 has 384 divisors, whose sum is σ = 3971937876480. Its totient is φ = 350399250432.

The previous prime is 1200113341337. The next prime is 1200113341351. The reversal of 1200113341344 is 4431433110021.

1200113341344 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 3 + 3 + 413 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1200113341337) and next prime (1200113341351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12451482 + ... + 12547494.

It is an arithmetic number, because the mean of its divisors is an integer number (10343588220).

Almost surely, 21200113341344 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 1200113341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985968938240).

1200113341344 is an abundant number, since it is smaller than the sum of its proper divisors (2771824535136).

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

1200113341344 is a wasteful number, since it uses less digits than its factorization.

1200113341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96109 (or 96095 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1200113341344 its reverse (4431433110021), we get a palindrome (5631546451365).

The spelling of 1200113341344 in words is "one trillion, two hundred billion, one hundred thirteen million, three hundred forty-one thousand, three hundred forty-four".