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2010221211120 = 2435311132391071
BaseRepresentation
bin11101010000001010100…
…001010110110111110000
321010011201202212011200220
4131100022201112313300
5230413413112223440
64135252145013040
7265143104236263
oct35201241266760
97104652764626
102010221211120
11705591516001
12285717024180
131177420245a5
146d41c156cda
15374554d48d0
hex1d40a856df0

2010221211120 has 160 divisors (see below), whose sum is σ = 6489637208064. Its totient is φ = 514175692800.

The previous prime is 2010221211101. The next prime is 2010221211127. The reversal of 2010221211120 is 211121220102.

It is a super-2 number, since 2×20102212111202 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010221211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010221211127) 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, 354816 + ... + 2036255.

Almost surely, 22010221211120 is an apocalyptic number.

2010221211120 is a gapful number since it is divisible by the number (20) 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 2010221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244818604032).

2010221211120 is an abundant number, since it is smaller than the sum of its proper divisors (4479415996944).

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

2010221211120 is a wasteful number, since it uses less digits than its factorization.

2010221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391231 (or 2391225 counting only the distinct ones).

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

Adding to 2010221211120 its reverse (211121220102), we get a palindrome (2221342431222).

The spelling of 2010221211120 in words is "two trillion, ten billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 113 120 124 155 186 226 240 248 310 339 372 452 465 496 565 620 678 744 904 930 1130 1240 1356 1488 1695 1808 1860 2260 2480 2712 3390 3503 3720 4520 5424 6780 7006 7440 9040 10509 13560 14012 17515 21018 27120 28024 35030 42036 52545 56048 70060 84072 105090 140120 168144 210180 280240 420360 840720 2391071 4782142 7173213 9564284 11955355 14346426 19128568 23910710 28692852 35866065 38257136 47821420 57385704 71732130 74123201 95642840 114771408 143464260 148246402 191285680 222369603 270191023 286928520 296492804 370616005 444739206 540382046 573857040 592985608 741232010 810573069 889478412 1080764092 1111848015 1185971216 1350955115 1482464020 1621146138 1778956824 2161528184 2223696030 2701910230 2964928040 3242292276 3557913648 4052865345 4323056368 4447392060 5403820460 5929856080 6484584552 8105730690 8375921713 8894784120 10807640920 12969169104 16211461380 16751843426 17789568240 21615281840 25127765139 32422922760 33503686852 41879608565 50255530278 64845845520 67007373704 83759217130 100511060556 125638825695 134014747408 167518434260 201022121112 251277651390 335036868520 402044242224 502555302780 670073737040 1005110605560 2010221211120