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132322022320 = 2459769124677
BaseRepresentation
bin111101100111100000…
…0011101001110110000
3110122112202020012102111
41323033000131032300
54131443414203240
6140442104055104
712363030426505
oct1731700351660
9418482205374
10132322022320
1151132371944
122178a464494
13c629c8a737
146593a2b4ac
153696b351ea
hex1ecf01d3b0

132322022320 has 80 divisors (see below), whose sum is σ = 311282764128. Its totient is φ = 52305223680.

The previous prime is 132322022317. The next prime is 132322022377. The reversal of 132322022320 is 23220223231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 132322022291 and 132322022300.

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 15 ways as a sum of consecutive naturals, for example, 5349822 + ... + 5374498.

Almost surely, 2132322022320 is an apocalyptic number.

132322022320 is a gapful number since it is divisible by the number (10) 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 132322022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155641382064).

132322022320 is an abundant number, since it is smaller than the sum of its proper divisors (178960741808).

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

132322022320 is a wasteful number, since it uses less digits than its factorization.

132322022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25478 (or 25472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 132322022320 its reverse (23220223231), we get a palindrome (155542245551).

The spelling of 132322022320 in words is "one hundred thirty-two billion, three hundred twenty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 691 776 970 1382 1552 1940 2764 3455 3880 5528 6910 7760 11056 13820 24677 27640 49354 55280 67027 98708 123385 134054 197416 246770 268108 335135 394832 493540 536216 670270 987080 1072432 1340540 1974160 2393669 2681080 4787338 5362160 9574676 11968345 17051807 19149352 23936690 34103614 38298704 47873380 68207228 85259035 95746760 136414456 170518070 191493520 272828912 341036140 682072280 1364144560 1654025279 3308050558 6616101116 8270126395 13232202232 16540252790 26464404464 33080505580 66161011160 132322022320