Search a number
-
+
232321331112 = 2331310344316319
BaseRepresentation
bin1101100001011101101…
…1100010111110101000
3211012122212120102111220
43120113123202332220
512301243230043422
6254421004222040
722533065506023
oct3302733427650
9735585512456
10232321331112
118a5883756a2
1239037b3a920
1318ba55b7680
14b35c94c1ba
15609ac84e5c
hex36176e2fa8

232321331112 has 128 divisors (see below), whose sum is σ = 633017548800. Its totient is φ = 70625348352.

The previous prime is 232321331111. The next prime is 232321331113. The reversal of 232321331112 is 211133123232.

It is an interprime number because it is at equal distance from previous prime (232321331111) and next prime (232321331113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232321331111) 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, 14228089 + ... + 14244407.

It is an arithmetic number, because the mean of its divisors is an integer number (4945449600).

Almost surely, 2232321331112 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 232321331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316508774400).

232321331112 is an abundant number, since it is smaller than the sum of its proper divisors (400696217688).

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

232321331112 is a wasteful number, since it uses less digits than its factorization.

232321331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16887 (or 16883 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 232321331112 its reverse (211133123232), we get a palindrome (443454454344).

The spelling of 232321331112 in words is "two hundred thirty-two billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 443 618 824 886 1236 1329 1339 1772 2472 2658 2678 3544 4017 5316 5356 5759 8034 10632 10712 11518 16068 16319 17277 23036 32136 32638 34554 45629 46072 48957 65276 69108 91258 97914 130552 136887 138216 182516 195828 212147 273774 365032 391656 424294 547548 593177 636441 848588 1095096 1186354 1272882 1680857 1697176 1779531 2372708 2545764 3361714 3559062 4745416 5042571 5091528 6723428 7118124 7229317 10085142 13446856 14236248 14458634 20170284 21687951 21851141 28917268 40340568 43375902 43702282 57834536 65553423 86751804 87404564 93981121 131106846 173503608 174809128 187962242 262213692 281943363 375924484 524427384 563886726 744619651 751848968 1127773452 1489239302 2233858953 2255546904 2978478604 4467717906 5956957208 8935435812 9680055463 17870871624 19360110926 29040166389 38720221852 58080332778 77440443704 116160665556 232321331112