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112310013231 = 321337193229587
BaseRepresentation
bin110100010011000110…
…0101100110100101111
3101201220002002210210200
41220212030230310233
53320002330410411
6123332225204543
711054101234623
oct1504614546457
9351802083720
10112310013231
11436a3090259
1219924490753
13a78ac69940
145615cdb183
152dc4ce5e56
hex1a2632cd2f

112310013231 has 96 divisors (see below), whose sum is σ = 181452048960. Its totient is φ = 66491891712.

The previous prime is 112310013149. The next prime is 112310013241. The reversal of 112310013231 is 132310013211.

112310013231 is a `hidden beast` number, since 112 + 310 + 0 + 13 + 231 = 666.

It is not a de Polignac number, because 112310013231 - 211 = 112310011183 is a prime.

It is a super-2 number, since 2×1123100132312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112310013241) 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 95 ways as a sum of consecutive naturals, for example, 191328520 + ... + 191329106.

It is an arithmetic number, because the mean of its divisors is an integer number (1890125510).

Almost surely, 2112310013231 is an apocalyptic number.

112310013231 is a deficient number, since it is larger than the sum of its proper divisors (69142035729).

112310013231 is a wasteful number, since it uses less digits than its factorization.

112310013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112310013231 its reverse (132310013211), we get a palindrome (244620026442).

The spelling of 112310013231 in words is "one hundred twelve billion, three hundred ten million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 13 37 39 111 117 193 229 333 481 579 587 687 1443 1737 1761 2061 2509 2977 4329 5283 7141 7527 7631 8473 8931 21423 21719 22581 22893 25419 26793 44197 64269 65157 68679 76257 92833 110149 113291 132591 134423 195471 278499 282347 330447 339873 397773 403269 574561 835497 847041 991341 1019619 1209807 1472783 1635289 1723683 1747499 2541123 4191767 4418349 4905867 4973651 5171049 5242497 12575301 13255047 14717601 14920953 15727491 21258757 25943639 37725903 44762859 54492971 63776271 64657463 77830917 163478913 191328813 193972389 233492751 337267307 490436739 581917167 959914643 1011801921 2879743929 3035405763 8639231787 12478890359 37436671077 112310013231