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13233530000 = 24541578429
BaseRepresentation
bin11000101001100011…
…11010010010010000
31021011021012222101202
430110301322102100
5204100240430000
610025052250332
7645640102055
oct142461722220
937137188352
1013233530000
115680a89a59
122693a709a8
13132b898932
148d779902c
15526bd0dd5
hex314c7a490

13233530000 has 100 divisors (see below), whose sum is σ = 32247599340. Its totient is φ = 5259072000.

The previous prime is 13233529999. The next prime is 13233530017. The reversal of 13233530000 is 3533231.

It can be written as a sum of positive squares in 10 ways, for example, as 12649051024 + 584478976 = 112468^2 + 24176^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1565786 + ... + 1574214.

Almost surely, 213233530000 is an apocalyptic number.

13233530000 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 13233530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123799670).

13233530000 is an abundant number, since it is smaller than the sum of its proper divisors (19014069340).

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

13233530000 is an equidigital number, since it uses as much as digits as its factorization.

13233530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The spelling of 13233530000 in words is "thirteen billion, two hundred thirty-three million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 625 628 785 1000 1250 1256 1570 2000 2500 2512 3140 3925 5000 6280 7850 8429 10000 12560 15700 16858 19625 31400 33716 39250 42145 62800 67432 78500 84290 98125 134864 157000 168580 196250 210725 314000 337160 392500 421450 674320 785000 842900 1053625 1323353 1570000 1685800 2107250 2646706 3371600 4214500 5268125 5293412 6616765 8429000 10536250 10586824 13233530 16858000 21072500 21173648 26467060 33083825 42145000 52934120 66167650 84290000 105868240 132335300 165419125 264670600 330838250 529341200 661676500 827095625 1323353000 1654191250 2646706000 3308382500 6616765000 13233530000