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13232012000 = 25534180683
BaseRepresentation
bin11000101001011000…
…00111101011100000
31021011011100212002112
430110230013223200
5204044343341000
610024555534452
7645621150314
oct142454075340
937134325075
1013232012000
115680142509
12269345a428
13132b4869cc
148d74c1b44
155269d1235
hex314b07ae0

13232012000 has 96 divisors (see below), whose sum is σ = 33304418784. Its totient is φ = 5163648000.

The previous prime is 13232011997. The next prime is 13232012021. The reversal of 13232012000 is 21023231.

It is a happy number.

It is a super-2 number, since 2×132320120002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123659 + ... + 204341.

It is an arithmetic number, because the mean of its divisors is an integer number (346921029).

Almost surely, 213232012000 is an apocalyptic number.

13232012000 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 13232012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652209392).

13232012000 is an abundant number, since it is smaller than the sum of its proper divisors (20072406784).

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

13232012000 is an equidigital number, since it uses as much as digits as its factorization.

13232012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80749 (or 80731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13232012000 its reverse (21023231), we get a palindrome (13253035231).

The spelling of 13232012000 in words is "thirteen billion, two hundred thirty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 80683 82000 161366 164000 322732 403415 645464 806830 1290928 1613660 2017075 2581856 3227320 3308003 4034150 6454640 6616006 8068300 10085375 12909280 13232012 16136600 16540015 20170750 26464024 32273200 33080030 40341500 52928048 64546400 66160060 80683000 82700075 105856096 132320120 161366000 165400150 264640240 322732000 330800300 413500375 529280480 661600600 827000750 1323201200 1654001500 2646402400 3308003000 6616006000 13232012000