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13104440430510 = 23511137537405287
BaseRepresentation
bin1011111010110001110110…
…0001000100111110101110
31201101202211222121010001110
42332230131201010332232
53204200343222234020
643512032525252450
72521523151535422
oct276543541047656
951352758533043
1013104440430510
1141a261aa99a80
12157788a704126
13740988415620
14334388ac6b82
1517ad236448e0
hexbeb1d844fae

13104440430510 has 128 divisors (see below), whose sum is σ = 36954017178624. Its totient is φ = 2932065884160.

The previous prime is 13104440430491. The next prime is 13104440430527. The reversal of 13104440430510 is 1503404440131.

It is a super-2 number, since 2×131044404305102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32131087 + ... + 32536373.

It is an arithmetic number, because the mean of its divisors is an integer number (288703259208).

Almost surely, 213104440430510 is an apocalyptic number.

13104440430510 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 13104440430510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477008589312).

13104440430510 is an abundant number, since it is smaller than the sum of its proper divisors (23849576748114).

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

13104440430510 is a wasteful number, since it uses less digits than its factorization.

13104440430510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412858.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13104440430510 its reverse (1503404440131), we get a palindrome (14607844870641).

The spelling of 13104440430510 in words is "thirteen trillion, one hundred four billion, four hundred forty million, four hundred thirty thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 7537 15074 22611 37685 45222 75370 82907 97981 113055 165814 195962 226110 248721 293943 405287 414535 489905 497442 587886 810574 829070 979810 1077791 1215861 1243605 1469715 2026435 2155582 2431722 2487210 2939430 3233373 4052870 4458157 5268731 5388955 6079305 6466746 8916314 10537462 10777910 12158610 13374471 15806193 16166865 22290785 26343655 26748942 31612386 32333730 44581570 52687310 57956041 66872355 79030965 115912082 133744710 158061930 173868123 289780205 347736246 579560410 869340615 1738681230 3054648119 6109296238 9163944357 15273240595 18327888714 30546481190 33601129309 39710425547 45819721785 67202258618 79420851094 91639443570 100803387927 119131276641 168005646545 198552127735 201606775854 238262553282 336011293090 397104255470 436814681017 504016939635 595656383205 873629362034 1008033879270 1191312766410 1310444043051 2184073405085 2620888086102 4368146810170 6552220215255 13104440430510