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2133131112 = 23347267181
BaseRepresentation
bin111111100100100…
…1111111101101000
312111122212021210000
41333021033331220
513332040143422
6551400223000
7103601213100
oct17711177550
95448767700
102133131112
119a5107a82
124b646aa60
1327cc1b078
14163432200
15c740dcac
hex7f24ff68

2133131112 has 120 divisors (see below), whose sum is σ = 6950313810. Its totient is φ = 609456960.

The previous prime is 2133131093. The next prime is 2133131137. The reversal of 2133131112 is 2111313312.

2133131112 is a `hidden beast` number, since 21 + 331 + 311 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1148803236 + 984327876 = 33894^2 + 31374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1839 + ... + 65342.

Almost surely, 22133131112 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 2133131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475156905).

2133131112 is an abundant number, since it is smaller than the sum of its proper divisors (4817182698).

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

2133131112 is a wasteful number, since it uses less digits than its factorization.

2133131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67213 (or 67193 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2133131112 is about 46185.8323731423. The cubic root of 2133131112 is about 1287.2785026575.

Adding to 2133131112 its reverse (2111313312), we get a palindrome (4244444424).

The spelling of 2133131112 in words is "two billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 67181 134362 201543 268724 403086 470267 537448 604629 806172 940534 1209258 1410801 1612344 1813887 1881068 2418516 2821602 3291869 3627774 3762136 4232403 4837032 5441661 5643204 6583738 7255548 8464806 9875607 10883322 11286408 12697209 13167476 14511096 16929612 19751214 21766644 25394418 26334952 29626821 33859224 38091627 39502428 43533288 50788836 59253642 76183254 79004856 88880463 101577672 118507284 152366508 177760926 237014568 266641389 304733016 355521852 533282778 711043704 1066565556 2133131112