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13322442120 = 2335138540027
BaseRepresentation
bin11000110100001010…
…00101010110001000
31021101110112011220020
430122011011112020
5204241021121440
610041550100440
7651066614061
oct143205052610
937343464806
1013322442120
115717197a49
1226b97aa720
131344129660
14905501568
1552e8e53d0
hex31a145588

13322442120 has 64 divisors (see below), whose sum is σ = 43041741120. Its totient is φ = 3279369984.

The previous prime is 13322442101. The next prime is 13322442121. The reversal of 13322442120 is 2124422331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13322442121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4268454 + ... + 4271573.

It is an arithmetic number, because the mean of its divisors is an integer number (672527205).

Almost surely, 213322442120 is an apocalyptic number.

13322442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322442120 is an abundant number, since it is smaller than the sum of its proper divisors (29719299000).

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

13322442120 is a wasteful number, since it uses less digits than its factorization.

13322442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540054 (or 8540050 counting only the distinct ones).

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

Adding to 13322442120 its reverse (2124422331), we get a palindrome (15446864451).

The spelling of 13322442120 in words is "thirteen billion, three hundred twenty-two million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 8540027 17080054 25620081 34160108 42700135 51240162 68320216 85400270 102480324 111020351 128100405 170800540 204960648 222040702 256200810 333061053 341601080 444081404 512401620 555101755 666122106 888162808 1024803240 1110203510 1332244212 1665305265 2220407020 2664488424 3330610530 4440814040 6661221060 13322442120