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12020000201010 = 2345411392603879
BaseRepresentation
bin1010111011101001111111…
…0101111001100100110010
31120120002201110222120210000
42232322133311321210302
53033413430022413020
641321524543450430
72350262544634314
oct256723765714462
946502643876700
1012020000201010
11391472083094a
1214216818b6a16
13692634137b59
142d7ab1d177b4
1515ca03bcb090
hexaee9fd79932

12020000201010 has 160 divisors (see below), whose sum is σ = 33346953763200. Its totient is φ = 3104655816960.

The previous prime is 12020000200837. The next prime is 12020000201107. The reversal of 12020000201010 is 1010200002021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12020000200983 and 12020000201001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3314251 + ... + 5918129.

It is an arithmetic number, because the mean of its divisors is an integer number (208418461020).

Almost surely, 212020000201010 is an apocalyptic number.

12020000201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020000201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673476881600).

12020000201010 is an abundant number, since it is smaller than the sum of its proper divisors (21326953562190).

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

12020000201010 is a wasteful number, since it uses less digits than its factorization.

12020000201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604078 (or 2604069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020000201010 its reverse (1010200002021), we get a palindrome (13030200203031).

The spelling of 12020000201010 in words is "twelve trillion, twenty billion, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 139 162 205 246 270 278 369 405 410 417 615 695 738 810 834 1107 1230 1251 1390 1845 2085 2214 2502 3321 3690 3753 4170 5535 5699 6255 6642 7506 11070 11259 11398 12510 16605 17097 18765 22518 28495 33210 34194 37530 51291 56295 56990 85485 102582 112590 153873 170970 256455 307746 461619 512910 769365 923238 1538730 2308095 2603879 4616190 5207758 7811637 13019395 15623274 23434911 26038790 39058185 46869822 70304733 78116370 106759039 117174555 140609466 210914199 213518078 234349110 320277117 351523665 361939181 421828398 533795195 640554234 703047330 723878362 960831351 1054570995 1067590390 1085817543 1601385585 1809695905 1921662702 2109141990 2171635086 2882494053 3202771170 3257452629 3619391810 4804156755 5429087715 5764988106 6514905258 8647482159 9608313510 9772357887 10858175430 14412470265 14839506421 16287263145 17294964318 19544715774 28824940530 29317073661 29679012842 32574526290 43237410795 44518519263 48861789435 58634147322 74197532105 86474821590 89037038526 97723578870 133555557789 146585368305 148395064210 222592596315 267111115578 293170736610 400666673367 445185192630 667777788945 801333346734 1202000020101 1335555577890 2003333366835 2404000040202 4006666733670 6010000100505 12020000201010