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2012203314 = 232118921283
BaseRepresentation
bin111011111101111…
…1100100100110010
312012020022112000200
41313323330210302
513110111001224
6531400300030
7100602305652
oct16773744462
95166275020
102012203314
11942922150
12481a71616
13260b5aa64
14151354362
15bb9c35c9
hex77efc932

2012203314 has 72 divisors (see below), whose sum is σ = 4813906032. Its totient is φ = 602437440.

The previous prime is 2012203307. The next prime is 2012203321. The reversal of 2012203314 is 4133022102.

It is an interprime number because it is at equal distance from previous prime (2012203307) and next prime (2012203321).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1567717 + ... + 1568999.

It is an arithmetic number, because the mean of its divisors is an integer number (66859806).

Almost surely, 22012203314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012203314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406953016).

2012203314 is an abundant number, since it is smaller than the sum of its proper divisors (2801702718).

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

2012203314 is a wasteful number, since it uses less digits than its factorization.

2012203314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012203314 is about 44857.5892575604. The cubic root of 2012203314 is about 1262.4783909513.

Adding to 2012203314 its reverse (4133022102), we get a palindrome (6145225416).

The spelling of 2012203314 in words is "two billion, twelve million, two hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1283 1602 1958 2566 2937 3849 5874 7698 7921 8811 11547 14113 15842 17622 23094 23763 28226 42339 47526 71289 84678 87131 114187 127017 142578 174262 228374 254034 261393 342561 522786 685122 784179 1027683 1256057 1568358 2055366 2512114 3768171 7536342 10162643 11304513 20325286 22609026 30487929 60975858 91463787 111789073 182927574 223578146 335367219 670734438 1006101657 2012203314