Search a number
-
+
2012102532 = 2234111992837
BaseRepresentation
bin111011111101110…
…0011111110000100
312012020010101210000
41313323203332010
513110044240112
6531354201300
7100601406066
oct16773437604
95166111700
102012102532
11942863460
12481a23230
13260b23c1b
14151329736
15bb9a37dc
hex77ee3f84

2012102532 has 120 divisors (see below), whose sum is σ = 5769086400. Its totient is φ = 606450240.

The previous prime is 2012102531. The next prime is 2012102539. The reversal of 2012102532 is 2352012102.

2012102532 is a `hidden beast` number, since 20 + 12 + 102 + 532 = 666.

It is a super-2 number, since 2×20121025322 = 8097113198561622048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2012102531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 707818 + ... + 710654.

It is an arithmetic number, because the mean of its divisors is an integer number (48075720).

Almost surely, 22012102532 is an apocalyptic number.

2012102532 is a gapful number since it is divisible by the number (22) 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 2012102532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884543200).

2012102532 is an abundant number, since it is smaller than the sum of its proper divisors (3756983868).

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

2012102532 is a wasteful number, since it uses less digits than its factorization.

2012102532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2012102532 is about 44856.4658884313. The cubic root of 2012102532 is about 1262.4573133559.

Adding to 2012102532 its reverse (2352012102), we get a palindrome (4364114634).

The spelling of 2012102532 in words is "two billion, twelve million, one hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 199 297 324 396 398 594 597 796 891 1188 1194 1782 1791 2189 2388 2837 3564 3582 4378 5373 5674 6567 7164 8511 8756 10746 11348 13134 16119 17022 19701 21492 25533 26268 31207 32238 34044 39402 51066 59103 62414 64476 76599 78804 93621 102132 118206 124828 153198 177309 187242 229797 236412 280863 306396 354618 374484 459594 561726 564563 709236 842589 919188 1123452 1129126 1685178 1693689 2258252 2527767 3370356 3387378 5055534 5081067 6210193 6774756 10111068 10162134 12420386 15243201 18630579 20324268 24840772 30486402 37261158 45729603 55891737 60972804 74522316 91459206 111783474 167675211 182918412 223566948 335350422 503025633 670700844 1006051266 2012102532