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13221032000 = 265311150239
BaseRepresentation
bin11000101000000100…
…01111000001000000
31021010101201000100212
430110002033001000
5204034041011000
610023524333252
7645425626541
oct142402170100
937111630325
1013221032000
115674a23030
12268b844228
131329111077
148d5c644c8
15525a62c35
hex31408f040

13221032000 has 112 divisors (see below), whose sum is σ = 35718658560. Its totient is φ = 4807616000.

The previous prime is 13221031921. The next prime is 13221032009. The reversal of 13221032000 is 23012231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13221032009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12881 + ... + 163119.

Almost surely, 213221032000 is an apocalyptic number.

13221032000 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 13221032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859329280).

13221032000 is an abundant number, since it is smaller than the sum of its proper divisors (22497626560).

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

13221032000 is a wasteful number, since it uses less digits than its factorization.

13221032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150277 (or 150257 counting only the distinct ones).

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

Adding to 13221032000 its reverse (23012231), we get a palindrome (13244044231).

The spelling of 13221032000 in words is "thirteen billion, two hundred twenty-one million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 150239 300478 600956 751195 1201912 1502390 1652629 2403824 3004780 3305258 3755975 4807648 6009560 6610516 7511950 8263145 9615296 12019120 13221032 15023900 16526290 18779875 24038240 26442064 30047800 33052580 37559750 41315725 48076480 52884128 60095600 66105160 75119500 82631450 105768256 120191200 132210320 150239000 165262900 206578625 240382400 264420640 300478000 330525800 413157250 528841280 600956000 661051600 826314500 1201912000 1322103200 1652629000 2644206400 3305258000 6610516000 13221032000