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2012210121210 = 2353137347168523
BaseRepresentation
bin11101010010000001000…
…100011100100111111010
321010100212101100021102120
4131102001010130213322
5230432001242334320
64140221354142110
7265243304552052
oct35220104344772
97110771307376
102012210121210
11706412178653
12285b91121936
1311799b0b7c73
146d56a366562
153751ee06440
hex1d48111c9fa

2012210121210 has 128 divisors (see below), whose sum is σ = 5134605410304. Its totient is φ = 503786407680.

The previous prime is 2012210121209. The next prime is 2012210121217. The reversal of 2012210121210 is 121210122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012210121210.

It is not an unprimeable number, because it can be changed into a prime (2012210121217) 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 63 ways as a sum of consecutive naturals, for example, 11856009 + ... + 12024531.

It is an arithmetic number, because the mean of its divisors is an integer number (40114104768).

Almost surely, 22012210121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012210121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567302705152).

2012210121210 is an abundant number, since it is smaller than the sum of its proper divisors (3122395289094).

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

2012210121210 is a wasteful number, since it uses less digits than its factorization.

2012210121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168948.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2012210121210 its reverse (121210122102), we get a palindrome (2133420243312).

The spelling of 2012210121210 in words is "two trillion, twelve billion, two hundred ten million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 347 370 465 555 694 930 1041 1110 1147 1735 2082 2294 3441 3470 5205 5735 6882 10410 10757 11470 12839 17205 21514 25678 32271 34410 38517 53785 64195 64542 77034 107570 128390 161355 168523 192585 322710 337046 385170 398009 505569 796018 842615 1011138 1194027 1685230 1990045 2388054 2527845 3980090 5055690 5224213 5970135 6235351 10448426 11940270 12470702 15672639 18706053 26121065 31176755 31345278 37412106 52242130 58477481 62353510 78363195 93530265 116954962 156726390 175432443 187060530 193295881 292387405 350864886 386591762 579887643 584774810 877162215 966479405 1159775286 1754324430 1812801911 1932958810 2163666797 2899438215 3625603822 4327333594 5438405733 5798876430 6491000391 9064009555 10818333985 10876811466 12982000782 18128019110 21636667970 27192028665 32455001955 54384057330 64910003910 67073670707 134147341414 201221012121 335368353535 402442024242 670736707070 1006105060605 2012210121210