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132122110122 = 23447110915647
BaseRepresentation
bin111101100001100010…
…1110110100010101010
3110122000211001121110000
41323003011312202222
54131041230010442
6140410203203430
712355052256222
oct1730305664252
9418024047400
10132122110122
115103a539952
1221733516576
13c5c77343b2
14657526d082
1536842e6d4c
hex1ec31768aa

132122110122 has 80 divisors (see below), whose sum is σ = 302642334720. Its totient is φ = 43062047712.

The previous prime is 132122110097. The next prime is 132122110181. The reversal of 132122110122 is 221011221231.

132122110122 is a `hidden beast` number, since 1 + 321 + 221 + 1 + 0 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132122110095 and 132122110104.

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 39 ways as a sum of consecutive naturals, for example, 8436103 + ... + 8451749.

It is an arithmetic number, because the mean of its divisors is an integer number (3783029184).

Almost surely, 2132122110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151321167360).

132122110122 is an abundant number, since it is smaller than the sum of its proper divisors (170520224598).

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

132122110122 is a wasteful number, since it uses less digits than its factorization.

132122110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132122110122 its reverse (221011221231), we get a palindrome (353133331353).

The spelling of 132122110122 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1109 1269 2218 2538 3327 3807 6654 7614 9981 15647 19962 29943 31294 46941 52123 59886 89829 93882 104246 140823 156369 179658 281646 312738 422469 469107 735409 844938 938214 1267407 1407321 1470818 2206227 2534814 2814642 4221963 4412454 6618681 8443926 13237362 17352523 19856043 34705046 39712086 52057569 59568129 104115138 119136258 156172707 312345414 468518121 815568581 937036242 1405554363 1631137162 2446705743 2811108726 4893411486 7340117229 14680234458 22020351687 44040703374 66061055061 132122110122