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2122020020010 = 23511311144718121
BaseRepresentation
bin11110111000010010001…
…111111101111100101010
321111212022020001002222110
4132320102033331330222
5234231344111120020
64302501553303150
7306211430363442
oct36702217757452
97455266032873
102122020020010
11748a41a86930
122a3318264ab6
1312514b0b5347
14749c61c3122
153a2ea49c8e0
hex1ee123fdf2a

2122020020010 has 128 divisors (see below), whose sum is σ = 5735872217088. Its totient is φ = 497763648000.

The previous prime is 2122020019991. The next prime is 2122020020011. The reversal of 2122020020010 is 100200202212.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122020020011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117093750 + ... + 117111870.

It is an arithmetic number, because the mean of its divisors is an integer number (44811501696).

Almost surely, 22122020020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122020020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867936108544).

2122020020010 is an abundant number, since it is smaller than the sum of its proper divisors (3613852197078).

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

2122020020010 is a wasteful number, since it uses less digits than its factorization.

2122020020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29620.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2122020020010 its reverse (100200202212), we get a palindrome (2222220222222).

The spelling of 2122020020010 in words is "two trillion, one hundred twenty-two billion, twenty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 11447 18121 22894 34341 36242 54363 57235 68682 90605 108726 114470 125917 171705 181210 199331 251834 271815 343410 354857 377751 398662 543630 561751 597993 629585 709714 755502 996655 1064571 1123502 1195986 1259170 1685253 1774285 1888755 1993310 2129142 2808755 2989965 3370506 3548570 3777510 3903427 5322855 5617510 5979930 6179261 7806854 8426265 10645710 11710281 12358522 16852530 18537783 19517135 23420562 30896305 37075566 39034270 58551405 61792610 92688915 117102810 185377830 207431087 414862174 622293261 1037155435 1244586522 2074310870 2281741957 3111466305 4563483914 6222932610 6430363697 6845225871 11408709785 12860727394 13690451742 19291091091 22817419570 32151818485 34226129355 38582182182 64303636970 68452258710 70734000667 96455455455 141468001334 192910910910 212202002001 353670003335 424404004002 707340006670 1061010010005 2122020020010