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13104140420 = 225713724987
BaseRepresentation
bin11000011010001000…
…10101000010000100
31020211020202022021002
430031010111002010
5203314124443140
610004151112432
7642506233010
oct141504250204
936736668232
1013104140420
115614a44718
122658672718
13130ab34c57
148c4517540
1551a673415
hex30d115084

13104140420 has 72 divisors (see below), whose sum is σ = 31687526976. Its totient is φ = 4459159296.

The previous prime is 13104140369. The next prime is 13104140459. The reversal of 13104140420 is 2404140131.

It is a super-4 number, since 4×131041404204 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 = 13104140392 and 13104140401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2625167 + ... + 2630153.

Almost surely, 213104140420 is an apocalyptic number.

13104140420 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 13104140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843763488).

13104140420 is an abundant number, since it is smaller than the sum of its proper divisors (18583386556).

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

13104140420 is a wasteful number, since it uses less digits than its factorization.

13104140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13104140420 its reverse (2404140131), we get a palindrome (15508280551).

The spelling of 13104140420 in words is "thirteen billion, one hundred four million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 4987 9590 9974 18769 19180 19948 24935 34909 37538 49870 69818 75076 93845 99740 131383 139636 174545 187690 262766 349090 375380 525532 656915 683219 698180 1313830 1366438 2627660 2732876 3416095 4782533 6832190 9565066 13664380 19130132 23912665 47825330 93601003 95650660 187202006 374404012 468005015 655207021 936010030 1310414042 1872020060 2620828084 3276035105 6552070210 13104140420