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20020112021000 = 2353713220001231
BaseRepresentation
bin1001000110101010010111…
…01010100101011000001000
32121212220102000210000211102
410203111023222211120020
510111002142134133000
6110325040144320532
74134256016255420
oct443251352453010
977786360700742
1020020112021000
1164195333490a3
1222b4047013148
13b22b71c50890
144d2d9b383480
1524ab8087d3d5
hex12354baa5608

20020112021000 has 128 divisors (see below), whose sum is σ = 57657922882560. Its totient is φ = 6336035424000.

The previous prime is 20020112020889. The next prime is 20020112021009. The reversal of 20020112021000 is 12021102002.

It is a happy number.

It is a super-3 number, since 3×200201120210003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20020112021009) 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, 109909616 + ... + 110091615.

It is an arithmetic number, because the mean of its divisors is an integer number (450452522520).

Almost surely, 220020112021000 is an apocalyptic number.

20020112021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020112021000 is an abundant number, since it is smaller than the sum of its proper divisors (37637810861560).

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

20020112021000 is a wasteful number, since it uses less digits than its factorization.

20020112021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220001272 (or 220001258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20020112021000 its reverse (12021102002), we get a palindrome (20032133123002).

The spelling of 20020112021000 in words is "twenty trillion, twenty billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 220001231 440002462 880004924 1100006155 1540008617 1760009848 2200012310 2860016003 3080017234 4400024620 5500030775 5720032006 6160034468 7700043085 8800049240 11000061550 11440064012 12320068936 14300080015 15400086170 20020112021 22000123100 22880128024 27500153875 28600160030 30800172340 38500215425 40040224042 44000246200 55000307750 57200320060 61600344680 71500400075 77000430850 80080448084 100100560105 110000615500 114400640120 143000800150 154000861700 160160896168 192501077125 200201120210 220001231000 286001600300 308001723400 357502000375 385002154250 400402240420 500502800525 572003200600 715004000750 770004308500 800804480840 1001005601050 1430008001500 1540008617000 2002011202100 2502514002625 2860016003000 4004022404200 5005028005250 10010056010500 20020112021000