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12113441342343 = 32111770823101627
BaseRepresentation
bin1011000001000110000101…
…0111100100001110000111
31120220000220112222101101100
42300101201113210032013
53041431311440423333
641432501011431143
72360111240346015
oct260214127441607
946800815871340
1012113441342343
1139503109283a0
1214377babb54b3
1369b3a5b59123
142dc417c518b5
151601721da213
hexb04615e4387

12113441342343 has 48 divisors (see below), whose sum is σ = 20211145733376. Its totient is φ = 6909462309120.

The previous prime is 12113441342329. The next prime is 12113441342437. The reversal of 12113441342343 is 34324314431121.

12113441342343 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 4 + 413 + 4 + 234 + 3 = 666.

It is not a de Polignac number, because 12113441342343 - 212 = 12113441338247 is a prime.

It is a super-2 number, since 2×121134413423432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113441342298 and 12113441342307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113441362343) 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, 119144296 + ... + 119245922.

It is an arithmetic number, because the mean of its divisors is an integer number (421065536112).

Almost surely, 212113441342343 is an apocalyptic number.

12113441342343 is a deficient number, since it is larger than the sum of its proper divisors (8097704391033).

12113441342343 is a wasteful number, since it uses less digits than its factorization.

12113441342343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172484 (or 172481 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 12113441342343 its reverse (34324314431121), we get a palindrome (46437755773464).

The spelling of 12113441342343 in words is "twelve trillion, one hundred thirteen billion, four hundred forty-one million, three hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 70823 101627 212469 304881 637407 779053 914643 1117897 1203991 1727659 2337159 3353691 3611973 5182977 7011477 10061073 10835919 13243901 15548931 19004249 39731703 57012747 119195109 171038241 7197529021 21592587063 64777761189 79172819231 122357993357 237518457693 367073980071 712555373079 1101221940213 1345937926927 4037813780781 12113441342343