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231312012 = 223233722651
BaseRepresentation
bin11011100100110…
…00101010001100
3121010020212102120
431302120222030
5433203441022
634541452540
75506056021
oct1562305214
9533225376
10231312012
1110962a158
1265571150
1338bcb519
1422a13548
1515491d5c
hexdc98a8c

231312012 has 48 divisors (see below), whose sum is σ = 578441472. Its totient is φ = 71755200.

The previous prime is 231312001. The next prime is 231312019. The reversal of 231312012 is 210213132.

231312012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231311982 and 231312000.

It is not an unprimeable number, because it can be changed into a prime (231312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 21537.

It is an arithmetic number, because the mean of its divisors is an integer number (12050864).

Almost surely, 2231312012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289220736).

231312012 is an abundant number, since it is smaller than the sum of its proper divisors (347129460).

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

231312012 is a wasteful number, since it uses less digits than its factorization.

231312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22718 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 231312012 is about 15208.9451310734. The cubic root of 231312012 is about 613.8553737744.

Adding to 231312012 its reverse (210213132), we get a palindrome (441525144).

It can be divided in two parts, 2313120 and 12, that added together give a palindrome (2313132).

The spelling of 231312012 in words is "two hundred thirty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 22651 45302 67953 90604 135906 271812 520973 838087 1041946 1562919 1676174 2083892 2514261 3125838 3352348 5028522 6251676 10057044 19276001 38552002 57828003 77104004 115656006 231312012