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132230220112000 = 275310697730953
BaseRepresentation
bin11110000100001100111111…
…010011000110000010000000
3122100012002022101121120111201
4132010030333103012002000
5114312424442322041000
61145121420254550544
736565214056653403
oct3604147723060200
9570162271546451
10132230220112000
113915058102268a
12129b7129208454
1358a2343caa1aa
142491d964b3d3a
151044928b0296a
hex78433f4c6080

132230220112000 has 128 divisors (see below), whose sum is σ = 329064964628400. Its totient is φ = 52842603110400.

The previous prime is 132230220111989. The next prime is 132230220112013. The reversal of 132230220112000 is 211022032231.

It can be written as a sum of positive squares in 8 ways, for example, as 169856082496 + 132060364029504 = 412136^2 + 11491752^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1322302201120002 (a number of 29 digits) contains 22 as substring.

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, 13238524 + ... + 20969476.

Almost surely, 2132230220112000 is an apocalyptic number.

132230220112000 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 132230220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164532482314200).

132230220112000 is an abundant number, since it is smaller than the sum of its proper divisors (196834744516400).

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

132230220112000 is an equidigital number, since it uses as much as digits as its factorization.

132230220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732051 (or 7732029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132230220112000 its reverse (211022032231), we get a palindrome (132441242144231).

The spelling of 132230220112000 in words is "one hundred thirty-two trillion, two hundred thirty billion, two hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1069 1600 2000 2138 3200 4000 4276 5345 8000 8552 10690 16000 17104 21380 26725 34208 42760 53450 68416 85520 106900 133625 136832 171040 213800 267250 342080 427600 534500 684160 855200 1069000 1710400 2138000 3420800 4276000 7730953 8552000 15461906 17104000 30923812 38654765 61847624 77309530 123695248 154619060 193273825 247390496 309238120 386547650 494780992 618476240 773095300 966369125 989561984 1236952480 1546190600 1932738250 2473904960 3092381200 3865476500 4947809920 6184762400 7730953000 8264388757 12369524800 15461906000 16528777514 24739049600 30923812000 33057555028 41321943785 61847624000 66115110056 82643887570 123695248000 132230220112 165287775140 206609718925 264460440224 330575550280 413219437850 528920880448 661151100560 826438875700 1033048594625 1057841760896 1322302201120 1652877751400 2066097189250 2644604402240 3305755502800 4132194378500 5289208804480 6611511005600 8264388757000 13223022011200 16528777514000 26446044022400 33057555028000 66115110056000 132230220112000