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13113104420 = 22513317389409
BaseRepresentation
bin11000011011001101…
…00001100000100100
31020211212121201120002
430031212201200210
5203323423320140
610005111200432
7642645356063
oct141546414044
936755551502
1013113104420
11561a007489
12265b676118
13130c9530b0
148c57ac1da
1551b344415
hex30d9a1824

13113104420 has 96 divisors (see below), whose sum is σ = 29898741600. Its totient is φ = 4802310144.

The previous prime is 13113104363. The next prime is 13113104437. The reversal of 13113104420 is 2440131131.

It can be written as a sum of positive squares in 16 ways, for example, as 7107164416 + 6005940004 = 84304^2 + 77498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13113104392 and 13113104401.

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, 32061176 + ... + 32061584.

It is an arithmetic number, because the mean of its divisors is an integer number (311445225).

Almost surely, 213113104420 is an apocalyptic number.

13113104420 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 13113104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949370800).

13113104420 is an abundant number, since it is smaller than the sum of its proper divisors (16785637180).

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

13113104420 is a wasteful number, since it uses less digits than its factorization.

13113104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13113104420 its reverse (2440131131), we get a palindrome (15553235551).

The spelling of 13113104420 in words is "thirteen billion, one hundred thirteen million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 317 389 409 634 778 818 1268 1556 1585 1636 1945 2045 3170 3890 4090 4121 5057 5317 6340 7780 8180 8242 10114 10634 16484 20228 20605 21268 25285 26585 41210 50570 53170 82420 101140 106340 123313 129653 159101 246626 259306 318202 493252 518612 616565 636404 648265 795505 1233130 1296530 1591010 1603069 1685489 2068313 2466260 2593060 3182020 3206138 3370978 4136626 6412276 6741956 8015345 8273252 8427445 10341565 16030690 16854890 20683130 32061380 33709780 41366260 50435017 100870034 201740068 252175085 504350170 655655221 1008700340 1311310442 2622620884 3278276105 6556552210 13113104420