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32002120030000 = 245410093171667
BaseRepresentation
bin1110100011011000100101…
…11111110001011100110000
311012022101001202202021212211
413101230102333301130300
513143310320211430000
6152021323155501504
76512035240013611
oct721542277613460
9135271052667784
1032002120030000
11a21902851084a
12370a2852b7894
1314b1a2cc85433
147c8ca761bc08
153a76ade787ba
hex1d1b12ff1730

32002120030000 has 100 divisors (see below), whose sum is σ = 77557146487480. Its totient is φ = 12788157312000.

The previous prime is 32002120029983. The next prime is 32002120030003. The reversal of 32002120030000 is 3002120023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (32002120030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8504167 + ... + 11675833.

Almost surely, 232002120030000 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 32002120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778573243740).

32002120030000 is an abundant number, since it is smaller than the sum of its proper divisors (45555026457480).

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

32002120030000 is a wasteful number, since it uses less digits than its factorization.

32002120030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172704 (or 3172683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 32002120030000 its reverse (3002120023), we get a palindrome (32005122150023).

The spelling of 32002120030000 in words is "thirty-two trillion, two billion, one hundred twenty million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1009 1250 2000 2018 2500 4036 5000 5045 8072 10000 10090 16144 20180 25225 40360 50450 80720 100900 126125 201800 252250 403600 504500 630625 1009000 1261250 2018000 2522500 3171667 5045000 6343334 10090000 12686668 15858335 25373336 31716670 50746672 63433340 79291675 126866680 158583350 253733360 317166700 396458375 634333400 792916750 1268666800 1585833500 1982291875 3171667000 3200212003 3964583750 6343334000 6400424006 7929167500 12800848012 15858335000 16001060015 25601696024 31716670000 32002120030 51203392048 64004240060 80005300075 128008480120 160010600150 256016960240 320021200300 400026500375 640042400600 800053000750 1280084801200 1600106001500 2000132501875 3200212003000 4000265003750 6400424006000 8000530007500 16001060015000 32002120030000