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2302131312 = 2432137971543
BaseRepresentation
bin1000100100110111…
…1011110001110000
312221102212101110200
42021031323301300
514203321200222
61020234355200
7111022536045
oct21115736160
95842771420
102302131312
11a81547368
12542b8bb00
132a8c402a0
1417ba651cc
15d7192eac
hex8937bc70

2302131312 has 120 divisors (see below), whose sum is σ = 6951575904. Its totient is φ = 707000832.

The previous prime is 2302131289. The next prime is 2302131317. The reversal of 2302131312 is 2131312032.

2302131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302131317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491213 + ... + 1492755.

Almost surely, 22302131312 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 2302131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475787952).

2302131312 is an abundant number, since it is smaller than the sum of its proper divisors (4649444592).

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

2302131312 is a wasteful number, since it uses less digits than its factorization.

2302131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2302131312 is about 47980.5305514643. The cubic root of 2302131312 is about 1320.4137270615.

Adding to 2302131312 its reverse (2131312032), we get a palindrome (4433443344).

The spelling of 2302131312 in words is "two billion, three hundred two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 797 936 1543 1594 1872 2391 3086 3188 4629 4782 6172 6376 7173 9258 9564 10361 12344 12752 13887 14346 18516 19128 20059 20722 24688 27774 28692 31083 37032 38256 40118 41444 55548 57384 60177 62166 74064 80236 82888 93249 111096 114768 120354 124332 160472 165776 180531 186498 222192 240708 248664 320944 361062 372996 481416 497328 722124 745992 962832 1229771 1444248 1491984 2459542 2888496 3689313 4919084 7378626 9838168 11067939 14757252 15987023 19676336 22135878 29514504 31974046 44271756 47961069 59029008 63948092 88543512 95922138 127896184 143883207 177087024 191844276 255792368 287766414 383688552 575532828 767377104 1151065656 2302131312