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13120424160 = 2535191438643
BaseRepresentation
bin11000011100000100…
…11100100011100000
31020212101101121100120
430032002130203200
5203332312033120
610005532120240
7643064523324
oct141602344340
936771347316
1013120424160
115623156958
122662006080
1313113169bc
148c6755984
1551bcdd140
hex30e09c8e0

13120424160 has 96 divisors (see below), whose sum is σ = 43504594560. Its totient is φ = 3314631168.

The previous prime is 13120424153. The next prime is 13120424171. The reversal of 13120424160 is 6142402131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13120424160.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 710202 + ... + 728441.

It is an arithmetic number, because the mean of its divisors is an integer number (453172860).

Almost surely, 213120424160 is an apocalyptic number.

13120424160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120424160 is an abundant number, since it is smaller than the sum of its proper divisors (30384170400).

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

13120424160 is a wasteful number, since it uses less digits than its factorization.

13120424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438680 (or 1438672 counting only the distinct ones).

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

Adding to 13120424160 its reverse (6142402131), we get a palindrome (19262826291).

The spelling of 13120424160 in words is "thirteen billion, one hundred twenty million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 1438643 2877286 4315929 5754572 7193215 8631858 11509144 14386430 17263716 21579645 23018288 27334217 28772860 34527432 43159290 46036576 54668434 57545720 69054864 82002651 86318580 109336868 115091440 136671085 138109728 164005302 172637160 218673736 230182880 273342170 328010604 345274320 410013255 437347472 546684340 656021208 690548640 820026510 874694944 1093368680 1312042416 1640053020 2186737360 2624084832 3280106040 4373474720 6560212080 13120424160