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13142053142130 = 23511713171769423
BaseRepresentation
bin1011111100111101111101…
…1010001011111001110010
31201112100221021112211112210
42333033133122023321302
53210304411101022010
643541213104232550
72524324220364663
oct277173732137162
951470837484483
1013142053142130
114207571427a10
12158302700b756
137443a0a100c3
143361161c336a
1517bcc5766b20
hexbf3df68be72

13142053142130 has 128 divisors (see below), whose sum is σ = 35003000365056. Its totient is φ = 3131169171200.

The previous prime is 13142053142081. The next prime is 13142053142143. The reversal of 13142053142130 is 3124135024131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6542599 + ... + 8312021.

It is an arithmetic number, because the mean of its divisors is an integer number (273460940352).

Almost surely, 213142053142130 is an apocalyptic number.

13142053142130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142053142130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501500182528).

13142053142130 is an abundant number, since it is smaller than the sum of its proper divisors (21860947222926).

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

13142053142130 is a wasteful number, since it uses less digits than its factorization.

13142053142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769832.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13142053142130 its reverse (3124135024131), we get a palindrome (16266188166261).

The spelling of 13142053142130 in words is "thirteen trillion, one hundred forty-two billion, fifty-three million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 317 330 355 426 634 710 781 951 1065 1562 1585 1902 2130 2343 3170 3487 3905 4686 4755 6974 7810 9510 10461 11715 17435 20922 22507 23430 34870 45014 52305 67521 104610 112535 135042 225070 247577 337605 495154 675210 742731 1237885 1485462 1769423 2475770 3538846 3713655 5308269 7427310 8847115 10616538 17694230 19463653 26541345 38927306 53082690 58390959 97318265 116781918 125629033 194636530 251258066 291954795 376887099 560907091 583909590 628145165 753774198 1121814182 1256290330 1381919363 1682721273 1884435495 2763838726 2804535455 3365442546 3768870990 4145758089 5609070910 6169978001 6909596815 8291516178 8413606365 12339956002 13819193630 16827212730 18509934003 20728790445 30849890005 37019868006 39824403461 41457580890 61699780010 79648806922 92549670015 119473210383 185099340030 199122017305 238946420766 398244034610 438068438071 597366051915 876136876142 1194732103830 1314205314213 2190342190355 2628410628426 4380684380710 6571026571065 13142053142130