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13311122430320 = 24511138314018791
BaseRepresentation
bin1100000110110011110010…
…1110010101100101110000
31202010112100000020120002022
43001230330232111211300
53221042134320232240
644151013434011012
72542461010542431
oct301547456254560
952115300216068
1013311122430320
114272240656570
1215ab94bb76a68
13757305ba9830
143403943c7488
151813bd51a9b5
hexc1b3cb95970

13311122430320 has 160 divisors (see below), whose sum is σ = 36796973842944. Its totient is φ = 4414236595200.

The previous prime is 13311122430301. The next prime is 13311122430391. The reversal of 13311122430320 is 2303422111331.

It is a happy number.

13311122430320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13311122430320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059876 + ... + 7958915.

Almost surely, 213311122430320 is an apocalyptic number.

13311122430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311122430320 is an abundant number, since it is smaller than the sum of its proper divisors (23485851412624).

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

13311122430320 is a wasteful number, since it uses less digits than its factorization.

13311122430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018911 (or 14018905 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13311122430320 its reverse (2303422111331), we get a palindrome (15614544541651).

The spelling of 13311122430320 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 83 88 104 110 130 143 166 176 208 220 260 286 332 415 440 520 572 664 715 830 880 913 1040 1079 1144 1328 1430 1660 1826 2158 2288 2860 3320 3652 4316 4565 5395 5720 6640 7304 8632 9130 10790 11440 11869 14608 17264 18260 21580 23738 36520 43160 47476 59345 73040 86320 94952 118690 189904 237380 474760 949520 14018791 28037582 56075164 70093955 112150328 140187910 154206701 182244283 224300656 280375820 308413402 364488566 560751640 616826804 728977132 771033505 911221415 1121503280 1163559653 1233653608 1457954264 1542067010 1822442830 2004687113 2327119306 2467307216 2915908528 3084134020 3644885660 4009374226 4654238612 5817798265 6168268040 7289771320 8018748452 9308477224 10023435565 11635596530 12336536080 12799156183 14579542640 15126275489 16037496904 18616954448 20046871130 23271193060 25598312366 30252550978 32074993808 40093742260 46542386120 51196624732 60505101956 63995780915 75631377445 80187484520 93084772240 102393249464 121010203912 127991561830 151262754890 160374969040 166389030379 204786498928 242020407824 255983123660 302525509780 332778060758 511966247320 605051019560 665556121516 831945151895 1023932494640 1210102039120 1331112243032 1663890303790 2662224486064 3327780607580 6655561215160 13311122430320