Search a number
-
+
1323302220220 = 225236191151767
BaseRepresentation
bin10011010000011010111…
…101010111000110111100
311200111200012120220000111
4103100122331113012330
5133140110332021340
62451525555035404
7164414443165441
oct23203275270674
94614605526014
101323302220220
11470233672132
1219456b29bb64
1397a2c980b26
14480962679c8
152464ea31aea
hex1341af571bc

1323302220220 has 96 divisors (see below), whose sum is σ = 2950587150336. Its totient is φ = 497450553600.

The previous prime is 1323302220217. The next prime is 1323302220271. The reversal of 1323302220220 is 220222033231.

It is a super-2 number, since 2×13233022202202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323302220191 and 1323302220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25536777 + ... + 25588543.

It is an arithmetic number, because the mean of its divisors is an integer number (30735282816).

Almost surely, 21323302220220 is an apocalyptic number.

1323302220220 is a gapful number since it is divisible by the number (10) 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 1323302220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475293575168).

1323302220220 is an abundant number, since it is smaller than the sum of its proper divisors (1627284930116).

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

1323302220220 is a wasteful number, since it uses less digits than its factorization.

1323302220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52771 (or 52769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1323302220220 its reverse (220222033231), we get a palindrome (1543524253451).

The spelling of 1323302220220 in words is "one trillion, three hundred twenty-three billion, three hundred two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 911 1220 1403 1822 2806 3644 4555 5612 7015 9110 14030 18220 20953 28060 41906 51767 55571 83812 103534 104765 111142 207068 209530 222284 258835 277855 419060 517670 555710 1035340 1111420 1190641 1278133 2381282 2556266 3157787 4762564 5112532 5953205 6315574 6390665 11906410 12631148 12781330 15788935 23812820 25562660 31577870 47159737 63155740 72629101 94319474 145258202 188638948 235798685 290516404 363145505 471597370 726291010 943194740 1084673951 1452582020 2169347902 2876743957 4338695804 5423369755 5753487914 10846739510 11506975828 14383719785 21693479020 28767439570 57534879140 66165111011 132330222022 264660444044 330825555055 661651110110 1323302220220