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1120201320 = 233572575189
BaseRepresentation
bin100001011000100…
…1110101001101000
32220001212010022210
41002301032221220
54243232420240
6303053445120
736521361030
oct10261165150
92801763283
101120201320
11525362917
122731a07a0
1314b104924
14a8aba8c0
1568526780
hex42c4ea68

1120201320 has 128 divisors (see below), whose sum is σ = 3856377600. Its totient is φ = 255000576.

The previous prime is 1120201319. The next prime is 1120201333. The reversal of 1120201320 is 231020211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120201296 and 1120201305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213286 + ... + 218474.

It is an arithmetic number, because the mean of its divisors is an integer number (30127950).

Almost surely, 21120201320 is an apocalyptic number.

1120201320 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 1120201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928188800).

1120201320 is an abundant number, since it is smaller than the sum of its proper divisors (2736176280).

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

1120201320 is a wasteful number, since it uses less digits than its factorization.

1120201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120201320 is about 33469.4087190079. The cubic root of 1120201320 is about 1038.5610400300.

Adding to 1120201320 its reverse (231020211), we get a palindrome (1351221531).

The spelling of 1120201320 in words is "one billion, one hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 257 280 420 514 771 840 1028 1285 1542 1799 2056 2570 3084 3598 3855 5140 5189 5397 6168 7196 7710 8995 10280 10378 10794 14392 15420 15567 17990 20756 21588 25945 26985 30840 31134 35980 36323 41512 43176 51890 53970 62268 71960 72646 77835 103780 107940 108969 124536 145292 155670 181615 207560 215880 217938 290584 311340 363230 435876 544845 622680 726460 871752 1089690 1333573 1452920 2179380 2667146 4000719 4358760 5334292 6667865 8001438 9335011 10668584 13335730 16002876 18670022 20003595 26671460 28005033 32005752 37340044 40007190 46675055 53342920 56010066 74680088 80014380 93350110 112020132 140025165 160028760 186700220 224040264 280050330 373400440 560100660 1120201320