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231112314 = 2321719127313
BaseRepresentation
bin11011100011001…
…11111001111010
3121002212201111100
431301213321322
5433131043224
634533312230
75504264556
oct1561477172
9532781440
10231112314
11109503114
1265495676
1338b5b664
14229a0866
1515452ac9
hexdc67e7a

231112314 has 96 divisors (see below), whose sum is σ = 564295680. Its totient is φ = 67931136.

The previous prime is 231112307. The next prime is 231112319. The reversal of 231112314 is 413211132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231112319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738222 + ... + 738534.

It is an arithmetic number, because the mean of its divisors is an integer number (5878080).

Almost surely, 2231112314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231112314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282147840).

231112314 is an abundant number, since it is smaller than the sum of its proper divisors (333183366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231112314 is a wasteful number, since it uses less digits than its factorization.

231112314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 231112314 is about 15202.3785638958. The cubic root of 231112314 is about 613.6786701905.

Adding to 231112314 its reverse (413211132), we get a palindrome (644323446).

It can be divided in two parts, 23111 and 2314, that added together give a triangular number (25425 = T225).

The spelling of 231112314 in words is "two hundred thirty-one million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 127 153 171 254 306 313 323 342 381 626 646 762 939 969 1143 1878 1938 2159 2286 2413 2817 2907 4318 4826 5321 5634 5814 5947 6477 7239 10642 11894 12954 14478 15963 17841 19431 21717 31926 35682 38862 39751 41021 43434 47889 53523 79502 82042 95778 101099 107046 119253 123063 202198 238506 246126 303297 357759 369189 606594 675767 715518 738378 755269 909891 1351534 1510538 1819782 2027301 2265807 4054602 4531614 6081903 6797421 12163806 12839573 13594842 25679146 38518719 77037438 115556157 231112314