Search a number
-
+
132320200012 = 2271121313721929
BaseRepresentation
bin111101100111011100…
…1100000010101001100
3110122112121210121200121
41323032321200111030
54131442432400022
6140442001034324
712363006066610
oct1731671402514
9418477717617
10132320200012
1151131337800
12217899259a4
13c6297a0150
1465936b5340
1536968c52c7
hex1ecee6054c

132320200012 has 144 divisors (see below), whose sum is σ = 315562524480. Its totient is φ = 47238174720.

The previous prime is 132320199937. The next prime is 132320200031. The reversal of 132320200012 is 210002023231.

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 47 ways as a sum of consecutive naturals, for example, 6023064 + ... + 6044992.

It is an arithmetic number, because the mean of its divisors is an integer number (2191406420).

Almost surely, 2132320200012 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 132320200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157781262240).

132320200012 is an abundant number, since it is smaller than the sum of its proper divisors (183242324468).

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

132320200012 is a wasteful number, since it uses less digits than its factorization.

132320200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132320200012 its reverse (210002023231), we get a palindrome (342322223243).

The spelling of 132320200012 in words is "one hundred thirty-two billion, three hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 137 143 154 182 242 274 286 308 364 484 548 572 847 959 1001 1507 1573 1694 1781 1918 2002 3014 3146 3388 3562 3836 4004 6028 6292 7124 10549 11011 12467 16577 19591 21098 21929 22022 24934 33154 39182 42196 43858 44044 49868 66308 78364 87716 116039 137137 153503 215501 232078 241219 274274 285077 307006 431002 464156 482438 548548 570154 614012 862004 964876 1140308 1508507 1688533 1995539 2653409 3004273 3017014 3135847 3377066 3991078 5306818 6008546 6034028 6271694 6754132 7982156 10613636 12017092 12543388 18573863 21029911 21950929 33047003 34494317 37147726 39055549 42059822 43901858 66094006 68988634 74295452 78111098 84119644 87803716 132188012 137977268 156222196 231329021 241460219 273388843 363517033 429611039 462658042 482920438 546777686 727034066 859222078 925316084 965840876 1093555372 1454068132 1718444156 2544619231 3007277273 4725721429 5089238462 6014554546 9451442858 10178476924 12029109092 18902885716 33080050003 66160100006 132320200012