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1131302120 = 235137927539
BaseRepresentation
bin100001101101110…
…0100110011101000
32220211202002202112
41003123210303220
54304103131440
6304131421452
740014623624
oct10333446350
92824662675
101131302120
11530655033
12276a54888
131504c0550
14aa36a184
15694ba965
hex436e4ce8

1131302120 has 64 divisors (see below), whose sum is σ = 2776032000. Its totient is φ = 412409088.

The previous prime is 1131302087. The next prime is 1131302147. The reversal of 1131302120 is 212031311.

It is a junction number, because it is equal to n+sod(n) for n = 1131302095 and 1131302104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27311 + ... + 54849.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 21131302120 is an apocalyptic number.

1131302120 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 1131302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016000).

1131302120 is an abundant number, since it is smaller than the sum of its proper divisors (1644729880).

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

1131302120 is a wasteful number, since it uses less digits than its factorization.

1131302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131302120 is about 33634.8349185781. The cubic root of 1131302120 is about 1041.9803612309.

Adding to 1131302120 its reverse (212031311), we get a palindrome (1343333431).

The spelling of 1131302120 in words is "one billion, one hundred thirty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 4108 5135 8216 10270 20540 27539 41080 55078 110156 137695 220312 275390 358007 550780 716014 1101560 1432028 1790035 2175581 2864056 3580070 4351162 7160140 8702324 10877905 14320280 17404648 21755810 28282553 43511620 56565106 87023240 113130212 141412765 226260424 282825530 565651060 1131302120