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132320223232125 = 35319149912389099
BaseRepresentation
bin11110000101100000110011…
…111001110000000001111101
3122100111200121212100210122020
4132011200303321300001331
5114320413304121412000
61145231023230110353
736604551324603465
oct3605406371600175
9570450555323566
10132320223232125
1139185767484995
1212a1066704b3b9
1358aa9886526a6
142496493984ba5
151046e45398ba0
hex785833e7007d

132320223232125 has 64 divisors (see below), whose sum is σ = 231923952000000. Its totient is φ = 66811927694400.

The previous prime is 132320223232097. The next prime is 132320223232147. The reversal of 132320223232125 is 521232322023231.

It is a happy number.

It is not a de Polignac number, because 132320223232125 - 28 = 132320223231869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4485826 + ... + 16874924.

It is an arithmetic number, because the mean of its divisors is an integer number (3623811750000).

Almost surely, 2132320223232125 is an apocalyptic number.

132320223232125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132320223232125 is a deficient number, since it is larger than the sum of its proper divisors (99603728767875).

132320223232125 is a wasteful number, since it uses less digits than its factorization.

132320223232125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390635 (or 12390625 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 132320223232125 its reverse (521232322023231), we get a palindrome (653552545255356).

The spelling of 132320223232125 in words is "one hundred thirty-two trillion, three hundred twenty billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 1425 1499 2375 4497 7125 7495 22485 28481 37475 85443 112425 142405 187375 427215 562125 712025 2136075 3560125 10680375 12389099 37167297 61945495 185836485 235392881 309727475 706178643 929182425 1176964405 1548637375 3530893215 4645912125 5884822025 17654466075 18571259401 29424110125 55713778203 88272330375 92856297005 278568891015 352853928619 464281485025 1058561785857 1392844455075 1764269643095 2321407425125 5292808929285 6964222275375 8821348215475 26464044646425 44106741077375 132320223232125