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132130213332 = 2231323101336353
BaseRepresentation
bin111101100001110010…
…0110000110111010100
3110122001101022021221220
41323003210300313110
54131100313311312
6140411053010340
712355211165565
oct1730344606724
9418041267856
10132130213332
1151044073a17
12217361839b0
13c5c93107b0
14657637c16c
153684d97c8c
hex1ec3930dd4

132130213332 has 96 divisors (see below), whose sum is σ = 346806690048. Its totient is φ = 38848364544.

The previous prime is 132130213283. The next prime is 132130213333. The reversal of 132130213332 is 233312031231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130213333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3616468 + ... + 3652820.

It is an arithmetic number, because the mean of its divisors is an integer number (3612569688).

Almost surely, 2132130213332 is an apocalyptic number.

132130213332 is a gapful number since it is divisible by the number (12) 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 132130213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173403345024).

132130213332 is an abundant number, since it is smaller than the sum of its proper divisors (214676476716).

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

132130213332 is a wasteful number, since it uses less digits than its factorization.

132130213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37409 (or 37407 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132130213332 its reverse (233312031231), we get a palindrome (365442244563).

The spelling of 132130213332 in words is "one hundred thirty-two billion, one hundred thirty million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1013 1196 1794 2026 3039 3588 4052 6078 12156 13169 23299 26338 36353 39507 46598 52676 69897 72706 79014 93196 109059 139794 145412 158028 218118 279588 302887 436236 472589 605774 836119 908661 945178 1211548 1417767 1672238 1817322 1890356 2508357 2835534 3344476 3634644 5016714 5671068 10033428 10869547 21739094 32608641 36825589 43478188 65217282 73651178 110476767 130434564 147302356 220953534 441907068 478732657 846988547 957465314 1436197971 1693977094 1914930628 2540965641 2872395942 3387954188 5081931282 5744791884 10163862564 11010851111 22021702222 33032553333 44043404444 66065106666 132130213332