Search a number
-
+
1043243121312 = 253272419112357
BaseRepresentation
bin11110010111001100010…
…00101011101010100000
310200201210101222121001200
433023212020223222200
5114043030214340222
62115132000401200
7135241352135010
oct17134610535240
93621711877050
101043243121312
113724895a9a87
1214a230016200
13774ba2070a2
14386c9625c40
151c20cd17eac
hexf2e622baa0

1043243121312 has 288 divisors, whose sum is σ = 3409792049664. Its totient is φ = 296381030400.

The previous prime is 1043243121307. The next prime is 1043243121313. The reversal of 1043243121312 is 2131213423401.

1043243121312 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 431 + 213 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1043243121313) 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 47 ways as a sum of consecutive naturals, for example, 442613638 + ... + 442615994.

It is an arithmetic number, because the mean of its divisors is an integer number (11839555728).

Almost surely, 21043243121312 is an apocalyptic number.

1043243121312 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 1043243121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704896024832).

1043243121312 is an abundant number, since it is smaller than the sum of its proper divisors (2366548928352).

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

1043243121312 is a wasteful number, since it uses less digits than its factorization.

1043243121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3521 counting only the distinct ones).

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

Adding to 1043243121312 its reverse (2131213423401), we get a palindrome (3174456544713).

The spelling of 1043243121312 in words is "one trillion, forty-three billion, two hundred forty-three million, one hundred twenty-one thousand, three hundred twelve".