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323223011320 = 235112947952883
BaseRepresentation
bin1001011010000011001…
…01111011111111111000
31010220021222010020100111
410231001211323333320
520243430042330240
6404253034514104
732231524156606
oct4550145737770
91126258106314
10323223011320
11115094a66440
1252786895934
1324631171021
14119034c2876
15861b3711ea
hex4b4197bff8

323223011320 has 128 divisors (see below), whose sum is σ = 822451968000. Its totient is φ = 113243630080.

The previous prime is 323223011273. The next prime is 323223011323. The reversal of 323223011320 is 23110322323.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 323223011291 and 323223011300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323223011323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085599 + ... + 6138481.

It is an arithmetic number, because the mean of its divisors is an integer number (6425406000).

Almost surely, 2323223011320 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 323223011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411225984000).

323223011320 is an abundant number, since it is smaller than the sum of its proper divisors (499228956680).

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

323223011320 is a wasteful number, since it uses less digits than its factorization.

323223011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53413 (or 53409 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 323223011320 its reverse (23110322323), we get a palindrome (346333333643).

The spelling of 323223011320 in words is "three hundred twenty-three billion, two hundred twenty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 479 580 638 958 1160 1276 1595 1916 2395 2552 3190 3832 4790 5269 6380 9580 10538 12760 13891 19160 21076 26345 27782 42152 52690 52883 55564 69455 105380 105766 111128 138910 152801 210760 211532 264415 277820 305602 423064 528830 555640 581713 611204 764005 1057660 1163426 1222408 1528010 1533607 2115320 2326852 2908565 3056020 3067214 4653704 5817130 6112040 6134428 7668035 11634260 12268856 15336070 16869677 23268520 25330957 30672140 33739354 50661914 61344280 67478708 84348385 101323828 126654785 134957416 168696770 202647656 253309570 278640527 337393540 506619140 557281054 674787080 734597753 1013238280 1114562108 1393202635 1469195506 2229124216 2786405270 2938391012 3672988765 5572810540 5876782024 7345977530 8080575283 11145621080 14691955060 16161150566 29383910120 32322301132 40402876415 64644602264 80805752830 161611505660 323223011320