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13230220320 = 253353062551
BaseRepresentation
bin11000101001001010…
…10010010000100000
31021011000222211101000
430110211102100200
5204043414022240
610024453312000
7645600005622
oct142445222040
937130884330
1013230220320
11567a129389
122692935600
13132acaa345
148d7176c12
1552677a430
hex314952420

13230220320 has 96 divisors (see below), whose sum is σ = 46305786240. Its totient is φ = 3528057600.

The previous prime is 13230220319. The next prime is 13230220321. The reversal of 13230220320 is 2302203231.

It is a happy number.

13230220320 is a `hidden beast` number, since 1 + 323 + 0 + 2 + 20 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (13230220319) and next prime (13230220321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13230220293 and 13230220302.

It is not an unprimeable number, because it can be changed into a prime (13230220321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526956 + ... + 1535595.

It is an arithmetic number, because the mean of its divisors is an integer number (482351940).

Almost surely, 213230220320 is an apocalyptic number.

13230220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230220320 is an abundant number, since it is smaller than the sum of its proper divisors (33075565920).

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

13230220320 is a wasteful number, since it uses less digits than its factorization.

13230220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062575 (or 3062561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13230220320 its reverse (2302203231), we get a palindrome (15532423551).

The spelling of 13230220320 in words is "thirteen billion, two hundred thirty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3062551 6125102 9187653 12250204 15312755 18375306 24500408 27562959 30625510 36750612 45938265 49000816 55125918 61251020 73501224 82688877 91876530 98001632 110251836 122502040 137814795 147002448 165377754 183753060 220503672 245004080 275629590 294004896 330755508 367506120 413444385 441007344 490008160 551259180 661511016 735012240 826888770 882014688 1102518360 1323022032 1470024480 1653777540 2205036720 2646044064 3307555080 4410073440 6615110160 13230220320