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332100120132 = 2232112233327209
BaseRepresentation
bin1001101010100101011…
…01011010111001000100
31011202012121222002100100
410311102231122321010
520420120112321012
6412321550044100
732664515305404
oct4652255327104
91152177862310
10332100120132
1111892a950700
12544437a9630
1325417324431
1412106468804
15898a8758dc
hex4d52b5ae44

332100120132 has 108 divisors (see below), whose sum is σ = 926692095420. Its totient is φ = 100204177920.

The previous prime is 332100120113. The next prime is 332100120181. The reversal of 332100120132 is 231021001233.

332100120132 is a `hidden beast` number, since 332 + 100 + 1 + 201 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238276754496 + 93823365636 = 488136^2 + 306306^2 .

It is a super-2 number, since 2×3321001201322 (a number of 24 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 851344 + ... + 1178552.

It is an arithmetic number, because the mean of its divisors is an integer number (8580482365).

Almost surely, 2332100120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332100120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463346047710).

332100120132 is an abundant number, since it is smaller than the sum of its proper divisors (594591975288).

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

332100120132 is a wasteful number, since it uses less digits than its factorization.

332100120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327474 (or 327458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332100120132 its reverse (231021001233), we get a palindrome (563121121365).

It can be divided in two parts, 3321001201 and 32, that added together give a palindrome (3321001233).

The spelling of 332100120132 in words is "three hundred thirty-two billion, one hundred million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 233 242 363 396 466 484 699 726 932 1089 1398 1452 2097 2178 2563 2796 4194 4356 5126 7689 8388 10252 15378 23067 28193 30756 46134 56386 84579 92268 112772 169158 253737 327209 338316 507474 654418 981627 1014948 1308836 1963254 2944881 3599299 3926508 5889762 7198598 10797897 11779524 14397196 21595794 32393691 39592289 43191588 64787382 76239697 79184578 118776867 129574764 152479394 158369156 228719091 237553734 304958788 356330601 457438182 475107468 686157273 712661202 838636667 914876364 1372314546 1425322404 1677273334 2515910001 2744629092 3354546668 5031820002 7547730003 9225003337 10063640004 15095460006 18450006674 27675010011 30190920012 36900013348 55350020022 83025030033 110700040044 166050060066 332100120132