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1123114411341 = 321317355487101
BaseRepresentation
bin10000010101111110110…
…101011110010101001101
310222100221202220112011200
4100111332311132111031
5121400114242130331
62215541315340113
7144066551660616
oct20257665362515
93870852815150
101123114411341
113a334589538a
121618008b1639
1381ba8785650
143c505258c0d
151e334d605e6
hex1057ed5e54d

1123114411341 has 24 divisors (see below), whose sum is σ = 1757165546136. Its totient is φ = 687152246400.

The previous prime is 1123114411327. The next prime is 1123114411369. The reversal of 1123114411341 is 1431144113211.

1123114411341 is a `hidden beast` number, since 1 + 1 + 2 + 311 + 4 + 4 + 1 + 1 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371721896100 + 751392515241 = 609690^2 + 866829^2 .

It is not a de Polignac number, because 1123114411341 - 26 = 1123114411277 is a prime.

It is a super-2 number, since 2×11231144113412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123114411141) 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 23 ways as a sum of consecutive naturals, for example, 27723310 + ... + 27763791.

It is an arithmetic number, because the mean of its divisors is an integer number (73215231089).

Almost surely, 21123114411341 is an apocalyptic number.

It is an amenable number.

1123114411341 is a deficient number, since it is larger than the sum of its proper divisors (634051134795).

1123114411341 is a wasteful number, since it uses less digits than its factorization.

1123114411341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55487293 (or 55487290 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 1123114411341 its reverse (1431144113211), we get a palindrome (2554258524552).

The spelling of 1123114411341 in words is "one trillion, one hundred twenty-three billion, one hundred fourteen million, four hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 173 519 1557 2249 6747 20241 55487101 166461303 499383909 721332313 2163996939 6491990817 9599268473 28797805419 86393416257 124790490149 374371470447 1123114411341