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13130322120 = 2332536473117
BaseRepresentation
bin11000011101010000…
…01101000011001000
31020220002000110210200
430032220031003020
5203342330301440
610010524212200
7643244616336
oct141650150310
936802013720
1013130322120
1156287a7393
12266539a060
1313133a0c96
148c7bb0b56
1551cae5c30
hex30ea0d0c8

13130322120 has 48 divisors (see below), whose sum is σ = 42673548060. Its totient is φ = 3501419136.

The previous prime is 13130322109. The next prime is 13130322187. The reversal of 13130322120 is 2122303131.

It can be written as a sum of positive squares in 2 ways, for example, as 12890877444 + 239444676 = 113538^2 + 15474^2 .

It is a super-2 number, since 2×131303221202 (a number of 21 digits) contains 22 as substring.

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 = 13130322093 and 13130322102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18236199 + ... + 18236918.

Almost surely, 213130322120 is an apocalyptic number.

13130322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130322120 is an abundant number, since it is smaller than the sum of its proper divisors (29543225940).

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

13130322120 is a wasteful number, since it uses less digits than its factorization.

13130322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36473134 (or 36473127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13130322120 its reverse (2122303131), we get a palindrome (15252625251).

The spelling of 13130322120 in words is "thirteen billion, one hundred thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 36473117 72946234 109419351 145892468 182365585 218838702 291784936 328258053 364731170 437677404 547096755 656516106 729462340 875354808 1094193510 1313032212 1458924680 1641290265 2188387020 2626064424 3282580530 4376774040 6565161060 13130322120