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2133145014 = 23711131732053
BaseRepresentation
bin111111100100101…
…0011010110110110
312111122212222211220
41333021103112312
513332041120024
6551400411210
7103601301450
oct17711232666
95448788756
102133145014
119a5117470
124b6476b06
1327cc244b0
141634372d0
15c7412e79
hex7f2535b6

2133145014 has 128 divisors (see below), whose sum is σ = 5764082688. Its totient is φ = 508239360.

The previous prime is 2133145009. The next prime is 2133145031. The reversal of 2133145014 is 4105413312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038012 + ... + 1040064.

It is an arithmetic number, because the mean of its divisors is an integer number (45031896).

Almost surely, 22133145014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133145014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882041344).

2133145014 is an abundant number, since it is smaller than the sum of its proper divisors (3630937674).

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

2133145014 is a wasteful number, since it uses less digits than its factorization.

2133145014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2133145014 is about 46185.9828735949. The cubic root of 2133145014 is about 1287.2812991268.

Adding to 2133145014 its reverse (4105413312), we get a palindrome (6238558326).

The spelling of 2133145014 in words is "two billion, one hundred thirty-three million, one hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 173 182 231 273 286 346 429 462 519 546 858 1001 1038 1211 1903 2002 2053 2249 2422 3003 3633 3806 4106 4498 5709 6006 6159 6747 7266 11418 12318 13321 13494 14371 15743 22583 24739 26642 26689 28742 31486 39963 43113 45166 47229 49478 53378 67749 74217 79926 80067 86226 94458 135498 148434 158081 160134 173173 186823 293579 316162 346346 355169 373646 474243 519519 560469 587158 710338 880737 948486 1039038 1065507 1120938 1761474 2055053 2131014 2486183 3906859 4110106 4617197 4972366 6165159 7458549 7813718 9234394 11720577 12330318 13851591 14917098 23441154 27348013 27703182 32320379 50789167 54696026 64640758 82044039 96961137 101578334 152367501 164088078 193922274 304735002 355524169 711048338 1066572507 2133145014