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1131365016 = 23335878923
BaseRepresentation
bin100001101101111…
…0100001010011000
32220211212022001000
41003123310022120
54304112140031
6304133025000
740015305165
oct10333641230
92824768030
101131365016
11530698311
12276a85160
13150513072
14aa38506c
15694ce3e6
hex436f4298

1131365016 has 64 divisors (see below), whose sum is σ = 3148387200. Its totient is φ = 376437024.

The previous prime is 1131365003. The next prime is 1131365017. The reversal of 1131365016 is 6105631311.

1131365016 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 650 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131365017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122331 + ... + 131253.

It is an arithmetic number, because the mean of its divisors is an integer number (49193550).

Almost surely, 21131365016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131365016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574193600).

1131365016 is an abundant number, since it is smaller than the sum of its proper divisors (2017022184).

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

1131365016 is a wasteful number, since it uses less digits than its factorization.

1131365016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1131365016 is about 33635.7698886171. The cubic root of 1131365016 is about 1041.9996708922. Note that the first 3 decimals are identical.

Adding to 1131365016 its reverse (6105631311), we get a palindrome (7236996327).

The spelling of 1131365016 in words is "one billion, one hundred thirty-one million, three hundred sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 587 1174 1761 2348 3522 4696 5283 7044 8923 10566 14088 15849 17846 21132 26769 31698 35692 42264 53538 63396 71384 80307 107076 126792 160614 214152 240921 321228 481842 642456 963684 1927368 5237801 10475602 15713403 20951204 31426806 41902408 47140209 62853612 94280418 125707224 141420627 188560836 282841254 377121672 565682508 1131365016