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1110112131321 = 34101427131771
BaseRepresentation
bin10000001001110111110…
…101101101100011111001
310221010101121211021010000
4100021313311231203321
5121142002201200241
62205551203343213
7143126420265654
oct20116765554371
93833347737100
101110112131321
113988833a2a16
1215b192381b09
13808b5a95c2b
143ba3049889b
151dd2360ceb6
hex10277d6d8f9

1110112131321 has 40 divisors (see below), whose sum is σ = 1675179462528. Its totient is φ = 732552660000.

The previous prime is 1110112131259. The next prime is 1110112131341. The reversal of 1110112131321 is 1231312110111.

It is not a de Polignac number, because 1110112131321 - 237 = 972673177849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1110112131294 and 1110112131303.

It is not an unprimeable number, because it can be changed into a prime (1110112131341) 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 39 ways as a sum of consecutive naturals, for example, 34925166 + ... + 34956936.

Almost surely, 21110112131321 is an apocalyptic number.

It is an amenable number.

1110112131321 is a deficient number, since it is larger than the sum of its proper divisors (565067331207).

1110112131321 is a wasteful number, since it uses less digits than its factorization.

1110112131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36155 (or 36146 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1110112131321 its reverse (1231312110111), we get a palindrome (2341424241432).

The spelling of 1110112131321 in words is "one trillion, one hundred ten billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 101 303 909 2727 4271 8181 12813 31771 38439 95313 115317 285939 345951 431371 857817 1294113 2573451 3208871 3882339 9626613 11647017 28879839 34941051 86639517 135693941 259918551 407081823 1221245469 3663736407 10991209221 13705088041 41115264123 123345792369 370037377107 1110112131321