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12021021000100 = 22527179143366949
BaseRepresentation
bin1010111011101101110010…
…1011111100000110100100
31120120012100121210112212201
42232323130223330012210
53033423022334000400
641322214131024244
72350330051403050
oct256733453740644
946505317715781
1012021021000100
1139150a4a70362
12142190773b084
13692767778098
142d7b6b71ac60
1515ca6361a06a
hexaeedcafc1a4

12021021000100 has 144 divisors (see below), whose sum is σ = 30000048624000. Its totient is φ = 4095546577920.

The previous prime is 12021021000071. The next prime is 12021021000119. The reversal of 12021021000100 is 100012012021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 179521426 + ... + 179588374.

It is an arithmetic number, because the mean of its divisors is an integer number (208333671000).

Almost surely, 212021021000100 is an apocalyptic number.

12021021000100 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 12021021000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000024312000).

12021021000100 is an abundant number, since it is smaller than the sum of its proper divisors (17979027623900).

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

12021021000100 is a wasteful number, since it uses less digits than its factorization.

12021021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68582 (or 68575 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021021000100 its reverse (100012012021), we get a palindrome (12121033012121).

The spelling of 12021021000100 in words is "twelve trillion, twenty-one billion, twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1433 1790 2506 2866 3580 4475 5012 5732 6265 7165 8950 10031 12530 14330 17900 20062 25060 28660 31325 35825 40124 50155 62650 66949 71650 100310 125300 133898 143300 200620 250775 256507 267796 334745 468643 501550 513014 669490 937286 1003100 1026028 1282535 1338980 1673725 1795549 1874572 2343215 2565070 3347450 3591098 4686430 5130140 6412675 6694900 7182196 8977745 9372860 11716075 11983871 12825350 17955490 23432150 23967742 25650700 35910980 44888725 46864300 47935484 59919355 83887097 89777450 95937917 119838710 167774194 179554900 191875834 239677420 299596775 335548388 383751668 419435485 479689585 599193550 671565419 838870970 959379170 1198387100 1343130838 1677741940 1918758340 2097177425 2398447925 2686261676 3357827095 4194354850 4796895850 6715654190 8388709700 9593791700 13431308380 16789135475 17172887143 33578270950 34345774286 67156541900 68691548572 85864435715 120210210001 171728871430 240420420002 343457742860 429322178575 480840840004 601051050005 858644357150 1202102100010 1717288714300 2404204200020 3005255250025 6010510500050 12021021000100