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13143104010 = 2335419116177
BaseRepresentation
bin11000011110110001…
…11101101000001010
31020220222001212021000
430033120331220022
5203404113312020
610012102155430
7643461353331
oct141730755012
936828055230
1013143104010
115634a37633
122669722b76
131315c27b2a
148c977ad18
1551dcbd090
hex30f63da0a

13143104010 has 64 divisors (see below), whose sum is σ = 35132227200. Its totient is φ = 3496432896.

The previous prime is 13143104003. The next prime is 13143104021. The reversal of 13143104010 is 1040134131.

13143104010 is a `hidden beast` number, since 1 + 314 + 310 + 40 + 1 + 0 = 666.

13143104010 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 (18).

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 31 ways as a sum of consecutive naturals, for example, 55042 + ... + 171218.

It is an arithmetic number, because the mean of its divisors is an integer number (548941050).

Almost surely, 213143104010 is an apocalyptic number.

13143104010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143104010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566113600).

13143104010 is an abundant number, since it is smaller than the sum of its proper divisors (21989123190).

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

13143104010 is a wasteful number, since it uses less digits than its factorization.

13143104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116612 (or 116606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13143104010 its reverse (1040134131), we get a palindrome (14183238141).

The spelling of 13143104010 in words is "thirteen billion, one hundred forty-three million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 419 838 1257 2095 2514 3771 4190 6285 7542 11313 12570 18855 22626 37710 56565 113130 116177 232354 348531 580885 697062 1045593 1161770 1742655 2091186 3136779 3485310 5227965 6273558 10455930 15683895 31367790 48678163 97356326 146034489 243390815 292068978 438103467 486781630 730172445 876206934 1314310401 1460344890 2190517335 2628620802 4381034670 6571552005 13143104010