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13011914020 = 2257194999803
BaseRepresentation
bin11000001111001001…
…00000110100100100
31020120211012201102111
430013210200310210
5203122022222040
65551054250404
7640306305250
oct140744406444
936524181374
1013011914020
115577982656
1226317b6a04
1312c49b3811
148b618b260
15512506dea
hex307920d24

13011914020 has 96 divisors (see below), whose sum is σ = 32941440000. Its totient is φ = 4217526144.

The previous prime is 13011913997. The next prime is 13011914023. The reversal of 13011914020 is 2041911031.

It is a junction number, because it is equal to n+sod(n) for n = 13011913982 and 13011914000.

It is not an unprimeable number, because it can be changed into a prime (13011914023) by changing a digit.

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, 1322439 + ... + 1332241.

It is an arithmetic number, because the mean of its divisors is an integer number (343140000).

Almost surely, 213011914020 is an apocalyptic number.

13011914020 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 13011914020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470720000).

13011914020 is an abundant number, since it is smaller than the sum of its proper divisors (19929525980).

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

13011914020 is a wasteful number, since it uses less digits than its factorization.

13011914020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 13011914020 in words is "thirteen billion, eleven million, nine hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 499 532 665 998 1330 1996 2495 2660 3493 4990 6986 9481 9803 9980 13972 17465 18962 19606 34930 37924 39212 47405 49015 66367 68621 69860 94810 98030 132734 137242 186257 189620 196060 265468 274484 331835 343105 372514 663670 686210 745028 931285 1303799 1327340 1372420 1862570 2607598 3725140 4891697 5215196 6518995 9783394 13037990 19566788 24458485 26075980 34241879 48916970 68483758 92942243 97833940 136967516 171209395 185884486 342418790 371768972 464711215 650595701 684837580 929422430 1301191402 1858844860 2602382804 3252978505 6505957010 13011914020