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2133313314 = 2311791014051
BaseRepresentation
bin111111100100111…
…1100011100100010
312111200012112201020
41333021330130202
513332112011224
6551404150310
7103602602226
oct17711743442
95450175636
102133313314
119a5221960
124b6538396
1327cc82c92
1416347c786
15c7447c79
hex7f27c722

2133313314 has 64 divisors (see below), whose sum is σ = 4761262080. Its totient is φ = 631800000.

The previous prime is 2133313261. The next prime is 2133313321. The reversal of 2133313314 is 4133133312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524589 + ... + 528639.

It is an arithmetic number, because the mean of its divisors is an integer number (74394720).

Almost surely, 22133313314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133313314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380631040).

2133313314 is an abundant number, since it is smaller than the sum of its proper divisors (2627948766).

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

2133313314 is a wasteful number, since it uses less digits than its factorization.

2133313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247.

The product of its digits is 1944, while the sum is 24.

The square root of 2133313314 is about 46187.8048190212. The cubic root of 2133313314 is about 1287.3151527004.

Adding to 2133313314 its reverse (4133133312), we get a palindrome (6266446626).

The spelling of 2133313314 in words is "two billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 79 101 158 202 237 303 474 606 869 1111 1738 2222 2607 3333 4051 5214 6666 7979 8102 12153 15958 23937 24306 44561 47874 87769 89122 133683 175538 263307 267366 320029 409151 526614 640058 818302 960087 1227453 1920174 2454906 3520319 4500661 7040638 9001322 10560957 13501983 21121914 27003966 32322929 64645858 96968787 193937574 355552219 711104438 1066656657 2133313314