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1181341346112 = 26322050939837
BaseRepresentation
bin10001001100001101011…
…011100110100101000000
311011221020201011021200100
4101030031123212211000
5123323341341033422
62302411204522400
7151230511522134
oct21141533464500
94157221137610
101181341346112
11416005435284
12170b509b0400
1387527a934c5
144126a4473c4
1520ae1aca7ac
hex1130d6e6940

1181341346112 has 42 divisors (see below), whose sum is σ = 3386101672538. Its totient is φ = 393780448512.

The previous prime is 1181341346051. The next prime is 1181341346117. The reversal of 1181341346112 is 2116431431811.

1181341346112 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 3 + 4 + 1 + 34 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 596997294336 + 584344051776 = 772656^2 + 764424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181341346117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1025469343 + ... + 1025470494.

Almost surely, 21181341346112 is an apocalyptic number.

1181341346112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1181341346112 is an abundant number, since it is smaller than the sum of its proper divisors (2204760326426).

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

1181341346112 is a wasteful number, since it uses less digits than its factorization.

1181341346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050939855 (or 2050939842 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 1181341346112 its reverse (2116431431811), we get a palindrome (3297772777923).

The spelling of 1181341346112 in words is "one trillion, one hundred eighty-one billion, three hundred forty-one million, three hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2050939837 4101879674 6152819511 8203759348 12305639022 16407518696 18458458533 24611278044 32815037392 36916917066 49222556088 65630074784 73833834132 98445112176 131260149568 147667668264 196890224352 295335336528 393780448704 590670673056 1181341346112