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13230537300 = 22335217288247
BaseRepresentation
bin11000101001001100…
…11111101001010100
31021011001120221012000
430110212133221110
5204044004143200
610024504155300
7645602466021
oct142446375124
937131527160
1013230537300
11567a325552
122692a68b30
13132b08b6c6
148d721a548
155267de300
hex31499fa54

13230537300 has 144 divisors (see below), whose sum is σ = 45035867520. Its totient is φ = 3320593920.

The previous prime is 13230537289. The next prime is 13230537377. The reversal of 13230537300 is 373503231.

13230537300 is a `hidden beast` number, since 1 + 323 + 0 + 5 + 37 + 300 = 666.

13230537300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98224 + ... + 190023.

It is an arithmetic number, because the mean of its divisors is an integer number (312749080).

Almost surely, 213230537300 is an apocalyptic number.

13230537300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230537300 is an abundant number, since it is smaller than the sum of its proper divisors (31805330220).

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

13230537300 is a wasteful number, since it uses less digits than its factorization.

13230537300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288287 (or 288274 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The spelling of 13230537300 in words is "thirteen billion, two hundred thirty million, five hundred thirty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 288247 576494 864741 1152988 1441235 1729482 2594223 2882470 3458964 4323705 4900199 5188446 5764940 7206175 7782669 8647410 9800398 10376892 12971115 14412350 14700597 15565338 17294820 19600796 21618525 24500995 25942230 28824700 29401194 31130676 38913345 43237050 44101791 49001990 51884460 58802388 64855575 73502985 77826690 86474100 88203582 98003980 122504975 129711150 132305373 147005970 155653380 176407164 194566725 220508955 245009950 259422300 264610746 294011940 367514925 389133450 441017910 490019900 529221492 661526865 735029850 778266900 882035820 1102544775 1323053730 1470059700 2205089550 2646107460 3307634325 4410179100 6615268650 13230537300