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1131362016 = 25311785021
BaseRepresentation
bin100001101101111…
…0011011011100000
32220211212010220220
41003123303123200
54304112041031
6304133003040
740015263351
oct10333633340
92824763826
101131362016
11530696034
12276a83480
131505118a5
14aa383d28
15694cd596
hex436f36e0

1131362016 has 24 divisors (see below), whose sum is σ = 2969825544. Its totient is φ = 377120640.

The previous prime is 1131361997. The next prime is 1131362017. The reversal of 1131362016 is 6102631311.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11313620162 = 2559960022495168512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131362017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5892415 + ... + 5892606.

It is an arithmetic number, because the mean of its divisors is an integer number (123742731).

Almost surely, 21131362016 is an apocalyptic number.

1131362016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1131362016 is an abundant number, since it is smaller than the sum of its proper divisors (1838463528).

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

1131362016 is a wasteful number, since it uses less digits than its factorization.

1131362016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785034 (or 11785026 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1131362016 is about 33635.7252932057. The cubic root of 1131362016 is about 1041.9987498803.

Adding to 1131362016 its reverse (6102631311), we get a palindrome (7233993327).

The spelling of 1131362016 in words is "one billion, one hundred thirty-one million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11785021 23570042 35355063 47140084 70710126 94280168 141420252 188560336 282840504 377120672 565681008 1131362016