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1131331608 = 2332112315971
BaseRepresentation
bin100001101101110…
…1100000000011000
32220211210121012200
41003123230000120
54304110102413
6304132210200
740015105611
oct10333540030
92824717180
101131331608
11530675200
12276a69960
13150500ab4
14aa376c08
15694c4573
hex436ec018

1131331608 has 288 divisors, whose sum is σ = 3585254400. Its totient is φ = 321552000.

The previous prime is 1131331561. The next prime is 1131331609. The reversal of 1131331608 is 8061331311.

1131331608 is a `hidden beast` number, since 1 + 13 + 13 + 31 + 608 = 666.

It is a super-2 number, since 2×11313316082 = 2559822414519731328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131331609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15934213 + ... + 15934283.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 21131331608 is an apocalyptic number.

1131331608 is a gapful number since it is divisible by the number (18) 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 1131331608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

1131331608 is an abundant number, since it is smaller than the sum of its proper divisors (2453922792).

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

1131331608 is a wasteful number, since it uses less digits than its factorization.

1131331608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1131331608 is about 33635.2732707793. The cubic root of 1131331608 is about 1041.9894144123.

Adding to 1131331608 its reverse (8061331311), we get a palindrome (9192662919).

The spelling of 1131331608 in words is "one billion, one hundred thirty-one million, three hundred thirty-one thousand, six hundred eight".