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13204224312 = 2334334333727
BaseRepresentation
bin11000100110000100…
…00111100100111000
31021002020002002112220
430103002013210320
5204020240134222
610022124204040
7645133024536
oct142302074470
937066062486
1013204224312
115666493184
122686099620
1313257a79a6
148d392b156
15524342b5c
hex313087938

13204224312 has 64 divisors (see below), whose sum is σ = 33797153280. Its totient is φ = 4296644352.

The previous prime is 13204224311. The next prime is 13204224317. The reversal of 13204224312 is 21342240231.

It is a happy number.

It is a super-2 number, since 2×132042243122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204224311) 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, 3540993 + ... + 3544719.

It is an arithmetic number, because the mean of its divisors is an integer number (528080520).

Almost surely, 213204224312 is an apocalyptic number.

13204224312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13204224312 is an abundant number, since it is smaller than the sum of its proper divisors (20592928968).

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

13204224312 is a wasteful number, since it uses less digits than its factorization.

13204224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13204224312 its reverse (21342240231), we get a palindrome (34546464543).

The spelling of 13204224312 in words is "thirteen billion, two hundred four million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 3433 3727 6866 7454 10299 11181 13732 14908 20598 22362 27464 29816 41196 44724 82392 89448 147619 160261 295238 320522 442857 480783 590476 641044 885714 961566 1180952 1282088 1771428 1923132 3542856 3846264 12794791 25589582 38384373 51179164 76768746 102358328 153537492 307074984 550176013 1100352026 1650528039 2200704052 3301056078 4401408104 6602112156 13204224312