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13330020121012 = 2275393712777507
BaseRepresentation
bin1100000111111010001100…
…0111010011100110110100
31202012100010000120201020101
43001332203013103212310
53221344340122333022
644203420545043444
72544030216344530
oct301764307234664
952170100521211
1013330020121012
11427a258933261
1215b3544926584
137590280a562a
1434126812cbc0
15181b275e6627
hexc1fa31d39b4

13330020121012 has 96 divisors (see below), whose sum is σ = 27216968018688. Its totient is φ = 5593964073984.

The previous prime is 13330020121007. The next prime is 13330020121021. The reversal of 13330020121012 is 21012102003331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775674963 + ... + 1775682469.

It is an arithmetic number, because the mean of its divisors is an integer number (283510083528).

Almost surely, 213330020121012 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 13330020121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608484009344).

13330020121012 is an abundant number, since it is smaller than the sum of its proper divisors (13886947897676).

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

13330020121012 is a wasteful number, since it uses less digits than its factorization.

13330020121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13330020121012 its reverse (21012102003331), we get a palindrome (34342122124343).

The spelling of 13330020121012 in words is "thirteen trillion, three hundred thirty billion, twenty million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 937 1277 1484 1874 2554 3748 5108 6559 7507 8939 13118 15014 17878 26236 30028 35756 49661 52549 67681 99322 105098 135362 198644 210196 270724 347627 397871 473767 695254 795742 947534 1196549 1390508 1591484 1895068 2393098 2785097 4786196 5570194 7034059 8375843 9586439 11140388 14068118 16751686 19172878 28136236 33503372 38345756 49238413 63417097 67105073 98476826 126834194 134210146 196953652 253668388 268420292 372805127 443919679 508081267 745610254 887839358 1016162534 1491220508 1775678716 2032325068 2609635889 3556568869 5219271778 7113137738 8982493343 10438543556 14226275476 17964986686 35929973372 62877453401 125754906802 251509813604 476072147179 952144294358 1904288588716 3332505030253 6665010060506 13330020121012