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201021020220202 = 271317293795911313
BaseRepresentation
bin101101101101001111011010…
…100000001010101100101010
3222100202102101112022022022121
4231231033122200022230222
5202322012022134021302
61551311440512141454
760225201164065420
oct5555173240125452
9870672345268277
10201021020220202
1159062599341856
121a667278b3788a
13882227c3cbc30
14378d67da45110
151839040de8e37
hexb6d3da80ab2a

201021020220202 has 128 divisors (see below), whose sum is σ = 407568548620800. Its totient is φ = 72075255791616.

The previous prime is 201021020220157. The next prime is 201021020220203. The reversal of 201021020220202 is 202022020120102.

201021020220202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010210202202022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201021020220203) 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, 31050498 + ... + 36961810.

It is an arithmetic number, because the mean of its divisors is an integer number (3184129286100).

Almost surely, 2201021020220202 is an apocalyptic number.

201021020220202 is an abundant number, since it is smaller than the sum of its proper divisors (206547528400598).

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

201021020220202 is a wasteful number, since it uses less digits than its factorization.

201021020220202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911760.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201021020220202 its reverse (202022020120102), we get a palindrome (403043040340304).

The spelling of 201021020220202 in words is "two hundred one trillion, twenty-one billion, twenty million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 7 13 14 17 26 29 34 58 91 119 182 203 221 238 377 379 406 442 493 754 758 986 1547 2639 2653 3094 3451 4927 5278 5306 6409 6443 6902 9854 10991 12818 12886 21982 34489 44863 45101 68978 76937 83759 89726 90202 142883 153874 167518 186847 285766 373694 586313 1000181 1172626 1307929 2000362 2429011 2615858 4858022 5911313 11822626 17003077 34006154 41379191 76847069 82758382 100492321 153694138 171428077 200984642 342856154 537929483 703446247 1075858966 1199996539 1306400173 1406892494 2228565001 2240387627 2399993078 2612800346 2914277309 4457130002 4480775254 5828554618 9144801211 15599955007 15682713389 18289602422 20399941163 29125039151 31199910014 31365426778 37885605017 38086589659 40799882326 58250078302 64971241183 75771210034 76173179318 129942482366 203875274057 265199235119 266606127613 407750548114 454798688281 495125665567 530398470238 533212255226 844626135379 909597376562 990251331134 1104511100111 1689252270758 2209022200222 3465879658969 5912382947653 6931759317938 7731577700777 11824765895306 14358644301443 15463155401554 28717288602886 100510510110101 201021020220202