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111312133101 = 321331139921937
BaseRepresentation
bin110011110101010111…
…0000101101111101101
3101122022112102020121100
41213222232011233231
53310431401224401
6123045221153313
711020263343251
oct1475256055755
9348275366540
10111312133101
1143230885134
12196a625b839
13a65c2c2620
14555d582261
152d673d2b86
hex19eab85bed

111312133101 has 48 divisors (see below), whose sum is σ = 178873676800. Its totient is φ = 66239700480.

The previous prime is 111312133091. The next prime is 111312133109. The reversal of 111312133101 is 101331213111.

111312133101 is a `hidden beast` number, since 11 + 131 + 213 + 310 + 1 = 666.

It is not a de Polignac number, because 111312133101 - 217 = 111312002029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312133109) 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, 5063205 + ... + 5085141.

Almost surely, 2111312133101 is an apocalyptic number.

It is an amenable number.

111312133101 is a deficient number, since it is larger than the sum of its proper divisors (67561543699).

111312133101 is a wasteful number, since it uses less digits than its factorization.

111312133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23386 (or 23383 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111312133101 its reverse (101331213111), we get a palindrome (212643346212).

The spelling of 111312133101 in words is "one hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 1399 3627 4197 12591 18187 21937 43369 54561 65811 130107 163683 197433 285181 390321 563797 680047 855543 1691391 2040141 2566629 5074173 6120423 8840611 26521833 30689863 79565499 92069589 276208767 398968219 951385753 1196904657 2854157259 3590713971 8562471777 12368014789 37104044367 111312133101