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1322411112 = 2332118320117
BaseRepresentation
bin100111011010010…
…0110010001101000
310102011100110000100
41032310212101220
510202014123422
6335115505400
744525210661
oct11664462150
93364313010
101322411112
11619515050
1230aa58260
13180c839a9
14c78b6368
157b16a7ac
hex4ed26468

1322411112 has 96 divisors (see below), whose sum is σ = 3954394080. Its totient is φ = 395882880.

The previous prime is 1322411081. The next prime is 1322411137. The reversal of 1322411112 is 2111142231.

It is a super-2 number, since 2×13224111122 = 3497542298282153088, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55678 + ... + 75794.

It is an arithmetic number, because the mean of its divisors is an integer number (41191605).

Almost surely, 21322411112 is an apocalyptic number.

1322411112 is a gapful number since it is divisible by the number (12) 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 1322411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977197040).

1322411112 is an abundant number, since it is smaller than the sum of its proper divisors (2631982968).

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

1322411112 is a wasteful number, since it uses less digits than its factorization.

1322411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223 (or 20216 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1322411112 is about 36364.9709473279. The cubic root of 1322411112 is about 1097.6288074113.

Adding to 1322411112 its reverse (2111142231), we get a palindrome (3433553343).

It can be divided in two parts, 13224 and 11112, that added together give a square (24336 = 1562).

The spelling of 1322411112 in words is "one billion, three hundred twenty-two million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 20117 21912 32868 40234 60351 65736 80468 120702 160936 181053 221287 241404 362106 442574 482808 663861 724212 885148 1327722 1448424 1669711 1770296 1991583 2655444 3339422 3983166 5009133 5310888 6678844 7966332 10018266 13357688 15027399 15932664 18366821 20036532 30054798 36733642 40073064 55100463 60109596 73467284 110200926 120219192 146934568 165301389 220401852 330602778 440803704 661205556 1322411112