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231301312 = 26111013253
BaseRepresentation
bin11011100100101…
…10000011000000
3121010020022202021
431302112003000
5433203120222
634541331224
75506012564
oct1562260300
9533208667
10231301312
11109622110
1265566b14
1338bc66a8
1422a0d6a4
151548dac7
hexdc960c0

231301312 has 56 divisors (see below), whose sum is σ = 505827792. Its totient is φ = 104064000.

The previous prime is 231301289. The next prime is 231301313. The reversal of 231301312 is 213103132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (231301313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69478 + ... + 72730.

Almost surely, 2231301312 is an apocalyptic number.

231301312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252913896).

231301312 is an abundant number, since it is smaller than the sum of its proper divisors (274526480).

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

231301312 is a wasteful number, since it uses less digits than its factorization.

231301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 231301312 is about 15208.5933603342. The cubic root of 231301312 is about 613.8459084153.

Adding to 231301312 its reverse (213103132), we get a palindrome (444404444).

It can be divided in two parts, 23130 and 1312, that added together give a palindrome (24442).

The spelling of 231301312 in words is "two hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1616 2222 3232 3253 4444 6464 6506 8888 13012 17776 26024 35552 35783 52048 71104 71566 104096 143132 208192 286264 328553 572528 657106 1145056 1314212 2290112 2628424 3614083 5256848 7228166 10513696 14456332 21027392 28912664 57825328 115650656 231301312