Search a number
-
+
13453213120 = 265311135181
BaseRepresentation
bin11001000011101111…
…11011110111000000
31021201120121000222121
430201313323313000
5210023010304440
610102541014024
7654245265454
oct144167736700
937646530877
1013453213120
115783a96156
122735554314
131365255049
14918a22664
1553b12734a
hex321dfbdc0

13453213120 has 56 divisors (see below), whose sum is σ = 32138709408. Its totient is φ = 5363942400.

The previous prime is 13453213117. The next prime is 13453213121. The reversal of 13453213120 is 2131235431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31930 + ... + 167110.

Almost surely, 213453213120 is an apocalyptic number.

13453213120 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 13453213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069354704).

13453213120 is an abundant number, since it is smaller than the sum of its proper divisors (18685496288).

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

13453213120 is a wasteful number, since it uses less digits than its factorization.

13453213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135509 (or 135499 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13453213120 its reverse (2131235431), we get a palindrome (15584448551).

The spelling of 13453213120 in words is "thirteen billion, four hundred fifty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 311 320 622 1244 1555 2488 3110 4976 6220 9952 12440 19904 24880 49760 99520 135181 270362 540724 675905 1081448 1351810 2162896 2703620 4325792 5407240 8651584 10814480 21628960 42041291 43257920 84082582 168165164 210206455 336330328 420412910 672660656 840825820 1345321312 1681651640 2690642624 3363303280 6726606560 13453213120