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21020122233120 = 253564767684577
BaseRepresentation
bin1001100011110001000001…
…11010110011100100100000
32202102111121110102021201010
410301320200322303210200
510223343202242424440
6112412302201540520
74266440136646413
oct461704072634440
982374543367633
1021020122233120
11677464700955a
122435a104a4740
13b9625c38369a
14529544cc7b7a
15266bace60580
hex131e20eb3920

21020122233120 has 96 divisors (see below), whose sum is σ = 66315725094528. Its totient is φ = 5596702220288.

The previous prime is 21020122233041. The next prime is 21020122233137. The reversal of 21020122233120 is 2133222102012.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33531729 + ... + 34152848.

It is an arithmetic number, because the mean of its divisors is an integer number (690788803068).

Almost surely, 221020122233120 is an apocalyptic number.

21020122233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020122233120 is an abundant number, since it is smaller than the sum of its proper divisors (45295602861408).

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

21020122233120 is a wasteful number, since it uses less digits than its factorization.

21020122233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67685242 (or 67685234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21020122233120 its reverse (2133222102012), we get a palindrome (23153344335132).

The spelling of 21020122233120 in words is "twenty-one trillion, twenty billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 15528 19410 20704 25880 31056 38820 51760 62112 77640 103520 155280 310560 67684577 135369154 203053731 270738308 338422885 406107462 541476616 676845770 812214924 1015268655 1082953232 1353691540 1624429848 2030537310 2165906464 2707383080 3248859696 4061074620 5414766160 6497719392 8122149240 10829532320 16244298480 32488596960 43791921319 87583842638 131375763957 175167685276 218959606595 262751527914 350335370552 437919213190 525503055828 656878819785 700670741104 875838426380 1051006111656 1313757639570 1401341482208 1751676852760 2102012223312 2627515279140 3503353705520 4204024446624 5255030558280 7006707411040 10510061116560 21020122233120