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13133300412420 = 223251371513526987
BaseRepresentation
bin1011111100011101010110…
…1101001011000000000100
31201111112100021202002121100
42333013111231023000010
53210133444401144140
643533204355020100
72523564266406366
oct277072555130004
951445307662540
1013133300412420
11420388a7755a1
1215813a389a630
13743607557bb6
14335925976d36
1517b962130530
hexbf1d5b4b004

13133300412420 has 144 divisors (see below), whose sum is σ = 40394226757248. Its totient is φ = 3453624691200.

The previous prime is 13133300412391. The next prime is 13133300412457. The reversal of 13133300412420 is 2421400333131.

It is a happy number.

13133300412420 is a `hidden beast` number, since 1 + 313 + 3 + 300 + 4 + 1 + 2 + 42 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960167 + ... + 5487153.

It is an arithmetic number, because the mean of its divisors is an integer number (280515463592).

Almost surely, 213133300412420 is an apocalyptic number.

13133300412420 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 13133300412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20197113378624).

13133300412420 is an abundant number, since it is smaller than the sum of its proper divisors (27260926344828).

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

13133300412420 is a wasteful number, since it uses less digits than its factorization.

13133300412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527290 (or 3527285 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13133300412420 its reverse (2421400333131), we get a palindrome (15554700745551).

The spelling of 13133300412420 in words is "thirteen trillion, one hundred thirty-three billion, three hundred million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 151 180 274 302 411 453 548 604 685 755 822 906 1233 1359 1370 1510 1644 1812 2055 2265 2466 2718 2740 3020 4110 4530 4932 5436 6165 6795 8220 9060 12330 13590 20687 24660 27180 41374 62061 82748 103435 124122 186183 206870 248244 310305 372366 413740 620610 744732 930915 1241220 1861830 3526987 3723660 7053974 10580961 14107948 17634935 21161922 31742883 35269870 42323844 52904805 63485766 70539740 105809610 126971532 158714415 211619220 317428830 483197219 532575037 634857660 966394438 1065150074 1449591657 1597725111 1932788876 2130300148 2415986095 2662875185 2899183314 3195450222 4348774971 4793175333 4831972190 5325750370 5798366628 6390900444 7247958285 7988625555 8697549942 9586350666 9663944380 10651500740 14495916570 15977251110 17395099884 19172701332 21743874855 23965876665 28991833140 31954502220 43487749710 47931753330 72962780069 86975499420 95863506660 145925560138 218888340207 291851120276 364813900345 437776680414 656665020621 729627800690 875553360828 1094441701035 1313330041242 1459255601380 2188883402070 2626660082484 3283325103105 4377766804140 6566650206210 13133300412420