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13123441410 = 2357311935023
BaseRepresentation
bin11000011100011011…
…11101001100000010
31020212121001220020120
430032031331030002
5203334100111120
610010120521110
7643132261062
oct141615751402
936777056216
1013123441410
115624927852
122663020196
131311b32161
148c6cdd3a2
1551c1d7140
hex30e37d302

13123441410 has 64 divisors (see below), whose sum is σ = 31960839168. Its totient is φ = 3448065024.

The previous prime is 13123441403. The next prime is 13123441421. The reversal of 13123441410 is 1414432131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610159 + ... + 2615181.

It is an arithmetic number, because the mean of its divisors is an integer number (499388112).

Almost surely, 213123441410 is an apocalyptic number.

13123441410 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 13123441410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980419584).

13123441410 is an abundant number, since it is smaller than the sum of its proper divisors (18837397758).

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

13123441410 is a wasteful number, since it uses less digits than its factorization.

13123441410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13123441410 its reverse (1414432131), we get a palindrome (14537873541).

The spelling of 13123441410 in words is "thirteen billion, one hundred twenty-three million, four hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1193 2190 2386 3579 5023 5965 7158 10046 11930 15069 17895 25115 30138 35790 50230 75345 87089 150690 174178 261267 366679 435445 522534 733358 870890 1100037 1306335 1833395 2200074 2612670 3666790 5500185 5992439 11000370 11984878 17977317 29962195 35954634 59924390 89886585 179773170 437448047 874896094 1312344141 2187240235 2624688282 4374480470 6561720705 13123441410