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1321332220 = 2251329315653
BaseRepresentation
bin100111011000001…
…1110110111111100
310102002022122001101
41032300132313330
510201230112340
6335040422444
744513065345
oct11660366774
93362278041
101321332220
116189484aa
1230a617a24
131809968b0
14c76b50cc
157b005c9a
hex4ec1edfc

1321332220 has 96 divisors (see below), whose sum is σ = 3191569920. Its totient is φ = 455777280.

The previous prime is 1321332217. The next prime is 1321332239. The reversal of 1321332220 is 222331231.

It is a super-2 number, since 2×13213322202 = 3491837671220256800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230914 + ... + 236566.

It is an arithmetic number, because the mean of its divisors is an integer number (33245520).

Almost surely, 21321332220 is an apocalyptic number.

1321332220 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 1321332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595784960).

1321332220 is an abundant number, since it is smaller than the sum of its proper divisors (1870237700).

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

1321332220 is a wasteful number, since it uses less digits than its factorization.

1321332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1321332220 is about 36350.1336998917. The cubic root of 1321332220 is about 1097.3302252420.

Adding to 1321332220 its reverse (222331231), we get a palindrome (1543663451).

The spelling of 1321332220 in words is "one billion, three hundred twenty-one million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 31 52 58 62 65 116 124 130 145 155 260 290 310 377 403 580 620 754 806 899 1508 1612 1798 1885 2015 3596 3770 4030 4495 5653 7540 8060 8990 11306 11687 17980 22612 23374 28265 46748 56530 58435 73489 113060 116870 146978 163937 175243 233740 293956 327874 350486 367445 655748 700972 734890 819685 876215 1469780 1639370 1752430 2131181 2278159 3278740 3504860 4262362 4556318 5082047 8524724 9112636 10164094 10655905 11390795 20328188 21311810 22781590 25410235 42623620 45563180 50820470 66066611 101640940 132133222 264266444 330333055 660666110 1321332220