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1123140013533 = 3483737165589
BaseRepresentation
bin10000010110000000010…
…111001000110111011101
310222101000120002020210000
4100112000113020313131
5121400142320413113
62215544032204513
7144100312411566
oct20260027106735
93871016066700
101123140013533
113a335929171a
12161809399739
1381bb0b7a985
143c50880116d
151e33721b373
hex105805c8ddd

1123140013533 has 20 divisors (see below), whose sum is σ = 1677807225820. Its totient is φ = 748746545472.

The previous prime is 1123140013519. The next prime is 1123140013549. The reversal of 1123140013533 is 3353100413211.

1123140013533 is a `hidden beast` number, since 1 + 123 + 1 + 4 + 0 + 0 + 1 + 3 + 533 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412622515449 + 710517498084 = 642357^2 + 842922^2 .

It is not a de Polignac number, because 1123140013533 - 24 = 1123140013517 is a prime.

It is a super-2 number, since 2×11231400135332 (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1123140013497 and 1123140013506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123140013573) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6699903 + ... + 6865491.

It is an arithmetic number, because the mean of its divisors is an integer number (83890361291).

Almost surely, 21123140013533 is an apocalyptic number.

It is an amenable number.

1123140013533 is a deficient number, since it is larger than the sum of its proper divisors (554667212287).

1123140013533 is an equidigital number, since it uses as much as digits as its factorization.

1123140013533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249338 (or 249329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1123140013533 its reverse (3353100413211), we get a palindrome (4476240426744).

The spelling of 1123140013533 in words is "one trillion, one hundred twenty-three billion, one hundred forty million, thirteen thousand, five hundred thirty-three".

Divisors: 1 3 9 27 81 83737 165589 251211 496767 753633 1490301 2260899 4470903 6782697 13412709 13865926093 41597778279 124793334837 374380004511 1123140013533