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12113115452343 = 3217312841189891
BaseRepresentation
bin1011000001000100110111…
…1100011001001110110111
31120220000001211202110100100
42300101031330121032313
53041430130023433333
641432404410445143
72360100202336263
oct260211574311667
946800054673310
1012113115452343
113950163980414
121437729a337b3
1369b353494cc9
142dc3c685d0a3
151601537b5213
hexb044df193b7

12113115452343 has 48 divisors (see below), whose sum is σ = 19124438141952. Its totient is φ = 7354871712000.

The previous prime is 12113115452327. The next prime is 12113115452353. The reversal of 12113115452343 is 34325451131121.

12113115452343 is a `hidden beast` number, since 1 + 2 + 1 + 13 + 115 + 4 + 523 + 4 + 3 = 666.

It is not a de Polignac number, because 12113115452343 - 24 = 12113115452327 is a prime.

It is a super-3 number, since 3×121131154523433 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113115452298 and 12113115452307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113115452303) 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 47 ways as a sum of consecutive naturals, for example, 134708428 + ... + 134798318.

It is an arithmetic number, because the mean of its divisors is an integer number (398425794624).

Almost surely, 212113115452343 is an apocalyptic number.

12113115452343 is a deficient number, since it is larger than the sum of its proper divisors (7011322689609).

12113115452343 is a wasteful number, since it uses less digits than its factorization.

12113115452343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118356 (or 118353 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 12113115452343 its reverse (34325451131121), we get a palindrome (46438566583464).

The spelling of 12113115452343 in words is "twelve trillion, one hundred thirteen billion, one hundred fifteen million, four hundred fifty-two thousand, three hundred forty-three".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 28411 85233 89891 255699 269673 482987 809019 880741 1448961 1528147 2642223 2786621 4346883 4584441 7926669 8359863 13753323 14972597 25079589 44917791 47372557 134753373 142117671 426353013 2553893201 7661679603 22985038809 43416184417 79170689231 130248553251 237512067693 390745659753 712536203079 1345901716927 4037705150781 12113115452343