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132122103102 = 23311821270923
BaseRepresentation
bin111101100001100010…
…1110100110100111110
3110122000211001020211000
41323003011310310332
54131041224244402
6140410203111130
712355052226603
oct1730305646476
9418024036730
10132122103102
115103a534650
12217335124a6
13c5c7731142
14657526a6aa
1536842e4c1c
hex1ec3174d3e

132122103102 has 64 divisors (see below), whose sum is σ = 320687320320. Its totient is φ = 39988087200.

The previous prime is 132122103097. The next prime is 132122103229. The reversal of 132122103102 is 201301221231.

132122103102 is a `hidden beast` number, since 1 + 321 + 22 + 10 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352213 + ... + 623135.

It is an arithmetic number, because the mean of its divisors is an integer number (5010739380).

Almost surely, 2132122103102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122103102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160343660160).

132122103102 is an abundant number, since it is smaller than the sum of its proper divisors (188565217218).

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

132122103102 is a wasteful number, since it uses less digits than its factorization.

132122103102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271766 (or 271760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132122103102 its reverse (201301221231), we get a palindrome (333423324333).

The spelling of 132122103102 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 821 1642 2463 4926 7389 9031 14778 18062 22167 27093 44334 54186 81279 162558 243837 270923 487674 541846 812769 1625538 2438307 2980153 4876614 5960306 7314921 8940459 14629842 17880918 26821377 53642754 80464131 160928262 222427783 444855566 667283349 1334566698 2001850047 2446705613 4003700094 4893411226 6005550141 7340116839 12011100282 14680233678 22020350517 44040701034 66061051551 132122103102