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13104104140 = 2252959569673
BaseRepresentation
bin11000011010001000…
…01100001011001100
31020211020200110111101
430031010030023030
5203314122313030
610004150232444
7642506022151
oct141504141314
936736613441
1013104104140
115614a1a436
122658655724
13130ab2159a
148c4508228
1551a6677ca
hex30d10c2cc

13104104140 has 96 divisors (see below), whose sum is σ = 29044008000. Its totient is φ = 4958994432.

The previous prime is 13104104089. The next prime is 13104104161. The reversal of 13104104140 is 4140140131.

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 31 ways as a sum of consecutive naturals, for example, 19470844 + ... + 19471516.

It is an arithmetic number, because the mean of its divisors is an integer number (302541750).

Almost surely, 213104104140 is an apocalyptic number.

13104104140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522004000).

13104104140 is an abundant number, since it is smaller than the sum of its proper divisors (15939903860).

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

13104104140 is a wasteful number, since it uses less digits than its factorization.

13104104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13104104140 its reverse (4140140131), we get a palindrome (17244244271).

The spelling of 13104104140 in words is "thirteen billion, one hundred four million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 569 580 590 673 1138 1180 1346 1711 2276 2692 2845 3365 3422 5690 6730 6844 8555 11380 13460 16501 17110 19517 33002 33571 34220 39034 39707 66004 67142 78068 79414 82505 97585 134284 158828 165010 167855 195170 198535 330020 335710 382937 390340 397070 671420 765874 794140 973559 1151503 1531748 1914685 1947118 2303006 3829370 3894236 4606012 4867795 5757515 7658740 9735590 11105173 11515030 19471180 22210346 22593283 23030060 44420692 45186566 55525865 90373132 111051730 112966415 222103460 225932830 451865660 655205207 1310410414 2620820828 3276026035 6552052070 13104104140