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13320230310992 = 24112319119978627
BaseRepresentation
bin1100000111010101101110…
…0110001001010001010000
31202011101211202022211120002
43001311123212021101100
53221214312424422432
644155121311305132
72543232503340413
oct301653346112120
952141752284502
1013320230310992
114276094831080
1215b167221b1a8
13758127acc637
143409b9c81b7a
15181752e06e62
hexc1d5b989450

13320230310992 has 160 divisors (see below), whose sum is σ = 29550241234944. Its totient is φ = 5757530662400.

The previous prime is 13320230310983. The next prime is 13320230310997. The reversal of 13320230310992 is 29901303202331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320230310997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544012183 + ... + 1544020809.

Almost surely, 213320230310992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320230310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775120617472).

13320230310992 is an abundant number, since it is smaller than the sum of its proper divisors (16230010923952).

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

13320230310992 is a wasteful number, since it uses less digits than its factorization.

13320230310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 38.

The spelling of 13320230310992 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 191 253 368 382 506 764 1012 1528 1997 2024 2101 3056 3994 4048 4202 4393 7988 8404 8627 8786 15976 16808 17254 17572 21967 31952 33616 34508 35144 43934 45931 48323 69016 70288 87868 91862 94897 96646 138032 175736 183724 189794 193292 198421 351472 367448 379588 381427 386584 396842 505241 734896 759176 762854 773168 793684 1010482 1518352 1525708 1587368 1647757 2020964 2182631 3051416 3174736 3295514 4041928 4195697 4365262 6102832 6591028 8083856 8391394 8730524 8772821 13182056 16782788 17228119 17461048 17545642 18125327 26364112 33565576 34456238 34922096 35091284 36250654 37898411 67131152 68912476 70182568 72501308 75796822 96501031 137824952 140365136 145002616 151593644 189509309 193002062 275649904 290005232 303187288 379018618 386004124 396246737 416882521 606374576 758037236 772008248 792493474 833765042 1516074472 1544016496 1584986948 1667530084 3032148944 3169973896 3290570729 3335060168 4358714107 6339947792 6581141458 6670120336 8717428214 13162282916 17434856428 26324565832 34869712856 36196278019 52649131664 69739425712 72392556038 75683126767 144785112076 151366253534 289570224152 302732507068 579140448304 605465014136 832514394437 1210930028272 1665028788874 3330057577748 6660115155496 13320230310992