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231001316 = 2271319127263
BaseRepresentation
bin11011100010011…
…00110011100100
3121002200002020022
431301030303210
5433114020231
634531054312
75503323140
oct1561146344
9532602208
10231001316
11109437787
1265441398
1338b1cc90
1422972220
151542ec7b
hexdc4cce4

231001316 has 96 divisors (see below), whose sum is σ = 529858560. Its totient is φ = 85567104.

The previous prime is 231001313. The next prime is 231001319. The reversal of 231001316 is 613100132.

231001316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231001313) and next prime (231001319).

It is a junction number, because it is equal to n+sod(n) for n = 231001294 and 231001303.

It is not an unprimeable number, because it can be changed into a prime (231001313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878201 + ... + 878463.

It is an arithmetic number, because the mean of its divisors is an integer number (5519360).

Almost surely, 2231001316 is an apocalyptic number.

231001316 is a gapful number since it is divisible by the number (26) 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 231001316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264929280).

231001316 is an abundant number, since it is smaller than the sum of its proper divisors (298857244).

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

231001316 is a wasteful number, since it uses less digits than its factorization.

231001316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 231001316 is about 15198.7274467305. The cubic root of 231001316 is about 613.5804091448.

Adding to 231001316 its reverse (613100132), we get a palindrome (844101448).

The spelling of 231001316 in words is "two hundred thirty-one million, one thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 127 133 182 247 254 263 266 364 494 508 526 532 889 988 1052 1651 1729 1778 1841 2413 3302 3419 3458 3556 3682 4826 4997 6604 6838 6916 7364 9652 9994 11557 13676 16891 19988 23114 23933 31369 33401 33782 34979 46228 47866 62738 64961 66802 67564 69958 95732 125476 129922 133604 139916 219583 233807 259844 434213 439166 454727 467614 634619 868426 878332 909454 935228 1269238 1736852 1818908 2538476 3039491 4442333 6078982 8250047 8884666 12157964 16500094 17769332 33000188 57750329 115500658 231001316