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132130230232 = 237111318191159
BaseRepresentation
bin111101100001110010…
…0110100111111011000
3110122001101100011010211
41323003210310333120
54131100314331412
6140411053220504
712355211266060
oct1730344647730
9418041304124
10132130230232
1151044085690
1221736191734
13c5c93183b0
1465763843a0
153684d9cca7
hex1ec3934fd8

132130230232 has 128 divisors (see below), whose sum is σ = 334476979200. Its totient is φ = 47256307200.

The previous prime is 132130230229. The next prime is 132130230233. The reversal of 132130230232 is 232032031231.

It is a super-2 number, since 2×1321302302322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130230233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403869 + ... + 1495027.

It is an arithmetic number, because the mean of its divisors is an integer number (2613101400).

Almost surely, 2132130230232 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 132130230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167238489600).

132130230232 is an abundant number, since it is smaller than the sum of its proper divisors (202346748968).

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

132130230232 is a wasteful number, since it uses less digits than its factorization.

132130230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91377 (or 91373 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132130230232 its reverse (232032031231), we get a palindrome (364162261463).

The spelling of 132130230232 in words is "one hundred thirty-two billion, one hundred thirty million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 181 182 286 308 362 364 572 616 724 728 1001 1144 1267 1448 1991 2002 2353 2534 3982 4004 4706 5068 7964 8008 9412 10136 13937 15928 16471 18824 25883 27874 32942 51766 55748 65884 91159 103532 111496 131768 181181 182318 207064 362362 364636 638113 724724 729272 1002749 1185067 1276226 1449448 2005498 2370134 2552452 4010996 4740268 5104904 7019243 8021992 8295469 9480536 13035737 14038486 16499779 16590938 26071474 28076972 32999558 33181876 52142948 56153944 65999116 66363752 91250159 104285896 115498453 131998232 181497569 182500318 214497127 230996906 362995138 365000636 428994254 461993812 725990276 730001272 857988508 923987624 1270482983 1451980552 1501479889 1715977016 2359468397 2540965966 3002959778 4718936794 5081931932 6005919556 9437873588 10163863864 12011839112 16516278779 18875747176 33032557558 66065115116 132130230232