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1043412131313 = 32132187762817
BaseRepresentation
bin11110010111100000011…
…01011001110111110001
310200202020012000012012100
433023300031121313301
5114043402001200223
62115200435051013
7135245503531356
oct17136015316761
93622205005170
101043412131313
11372565a45772
1214a278740a69
13775162308c6
1438703c5c62d
151c21caa0043
hexf2f0359df1

1043412131313 has 12 divisors (see below), whose sum is σ = 1508291790148. Its totient is φ = 695081502720.

The previous prime is 1043412131309. The next prime is 1043412131317. The reversal of 1043412131313 is 3131312143401.

1043412131313 is a `hidden beast` number, since 1 + 0 + 4 + 341 + 2 + 1 + 3 + 1 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (1043412131309) and next prime (1043412131317).

It can be written as a sum of positive squares in 2 ways, for example, as 870175540224 + 173236591089 = 932832^2 + 416217^2 .

It is not a de Polignac number, because 1043412131313 - 22 = 1043412131309 is a prime.

It is a super-2 number, since 2×10434121313132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1043412131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43869520 + ... + 43893297.

Almost surely, 21043412131313 is an apocalyptic number.

It is an amenable number.

1043412131313 is a deficient number, since it is larger than the sum of its proper divisors (464879658835).

1043412131313 is a wasteful number, since it uses less digits than its factorization.

1043412131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87764144 (or 87764141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1043412131313 its reverse (3131312143401), we get a palindrome (4174724274714).

The spelling of 1043412131313 in words is "one trillion, forty-three billion, four hundred twelve million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 1321 3963 11889 87762817 263288451 789865353 115934681257 347804043771 1043412131313