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13142010030 = 2354110684561
BaseRepresentation
bin11000011110101001…
…10010100010101110
31020220220000021121020
430033110302202232
5203403323310110
610012022515010
7643446146022
oct141724624256
936826007536
1013142010030
11563435a716
122669295a66
131315933bc6
148c9574382
1551db53d70
hex30f5328ae

13142010030 has 32 divisors (see below), whose sum is σ = 32310115488. Its totient is φ = 3419059200.

The previous prime is 13142010023. The next prime is 13142010053. The reversal of 13142010030 is 3001024131.

13142010030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 13142009991 and 13142010009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5341051 + ... + 5343510.

It is an arithmetic number, because the mean of its divisors is an integer number (1009691109).

Almost surely, 213142010030 is an apocalyptic number.

13142010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13142010030 is an abundant number, since it is smaller than the sum of its proper divisors (19168105458).

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

13142010030 is a wasteful number, since it uses less digits than its factorization.

13142010030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684612.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13142010030 its reverse (3001024131), we get a palindrome (16143034161).

The spelling of 13142010030 in words is "thirteen billion, one hundred forty-two million, ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 10684561 21369122 32053683 53422805 64107366 106845610 160268415 320536830 438067001 876134002 1314201003 2190335005 2628402006 4380670010 6571005015 13142010030