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13123013000 = 235331423323
BaseRepresentation
bin11000011100011000…
…10100100110001000
31020212120021010120112
430032030110212020
5203333442404000
610010103413452
7643125525056
oct141614244610
936776233515
1013123013000
115624664999
122662a54288
131311a12166
148c6c2b1d6
1551c150235
hex30e314988

13123013000 has 64 divisors (see below), whose sum is σ = 31698501120. Its totient is φ = 5079864000.

The previous prime is 13123012961. The next prime is 13123013003. The reversal of 13123013000 is 31032131.

It is not an unprimeable number, because it can be changed into a prime (13123013003) 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, 180662 + ... + 242661.

It is an arithmetic number, because the mean of its divisors is an integer number (495289080).

Almost surely, 213123013000 is an apocalyptic number.

13123013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123013000 is an abundant number, since it is smaller than the sum of its proper divisors (18575488120).

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

13123013000 is a wasteful number, since it uses less digits than its factorization.

13123013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423375 (or 423361 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13123013000 its reverse (31032131), we get a palindrome (13154045131).

The spelling of 13123013000 in words is "thirteen billion, one hundred twenty-three million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 423323 846646 1693292 2116615 3386584 4233230 8466460 10583075 13123013 16932920 21166150 26246026 42332300 52492052 52915375 65615065 84664600 104984104 105830750 131230130 211661500 262460260 328075325 423323000 524920520 656150650 1312301300 1640376625 2624602600 3280753250 6561506500 13123013000