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1131302220 = 2235314712941
BaseRepresentation
bin100001101101110…
…0100110101001100
32220211202002220020
41003123210311030
54304103132340
6304131422140
740014624126
oct10333446514
92824662806
101131302220
11530655114
12276a54950
131504c05c9
14aa36a216
15694ba9d0
hex436e4d4c

1131302220 has 96 divisors (see below), whose sum is σ = 3339657216. Its totient is φ = 285715200.

The previous prime is 1131302203. The next prime is 1131302231. The reversal of 1131302220 is 222031311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131302220.

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, 80950 + ... + 93890.

It is an arithmetic number, because the mean of its divisors is an integer number (34788096).

Almost surely, 21131302220 is an apocalyptic number.

1131302220 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 1131302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669828608).

1131302220 is an abundant number, since it is smaller than the sum of its proper divisors (2208354996).

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

1131302220 is a wasteful number, since it uses less digits than its factorization.

1131302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1131302220 is about 33634.8364051321. The cubic root of 1131302220 is about 1041.9803919324.

Adding to 1131302220 its reverse (222031311), we get a palindrome (1353333531).

The spelling of 1131302220 in words is "one billion, one hundred thirty-one million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 1410 1457 1860 2820 2914 4371 5828 7285 8742 12941 14570 17484 21855 25882 29140 38823 43710 51764 64705 77646 87420 129410 155292 194115 258820 388230 401171 608227 776460 802342 1203513 1216454 1604684 1824681 2005855 2407026 2432908 3041135 3649362 4011710 4814052 6017565 6082270 7298724 8023420 9123405 12035130 12164540 18246810 18855037 24070260 36493620 37710074 56565111 75420148 94275185 113130222 188550370 226260444 282825555 377100740 565651110 1131302220