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202010201011122 = 237412711197136161
BaseRepresentation
bin101101111011101000101010…
…010001011011001110110010
3222111020222122020110222002020
4231323220222101123032302
5202434213342424323442
61553350112153332310
760356520046063020
oct5573505221331662
9874228566428066
10202010201011122
1159404055091839
121a7a6b1b707096
13889463205ccba
1437c54bb1dd710
151854b378d39ec
hexb7ba2a45b3b2

202010201011122 has 128 divisors (see below), whose sum is σ = 474797668294656. Its totient is φ = 56095441920000.

The previous prime is 202010201011097. The next prime is 202010201011159. The reversal of 202010201011122 is 221110102010202.

It is a super-2 number, since 2×2020102010111222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5586392722 + ... + 5586428882.

It is an arithmetic number, because the mean of its divisors is an integer number (3709356783552).

Almost surely, 2202010201011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202010201011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237398834147328).

202010201011122 is an abundant number, since it is smaller than the sum of its proper divisors (272787467283534).

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

202010201011122 is a wasteful number, since it uses less digits than its factorization.

202010201011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48456.

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

Adding to 202010201011122 its reverse (221110102010202), we get a palindrome (423120303021324).

The spelling of 202010201011122 in words is "two hundred two trillion, ten billion, two hundred one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 271 287 542 574 813 861 1626 1722 1897 3794 5691 11111 11382 11971 22222 23942 33333 35913 36161 66666 71826 72322 77777 83797 108483 155554 167594 216966 233331 251391 253127 466662 490811 502782 506254 759381 981622 1472433 1482601 1518762 2944866 2965202 3244141 3435677 4447803 6488282 6871354 8895606 9732423 9799631 10307031 10378207 19464846 19599262 20614062 20756414 22708987 29398893 31134621 45417974 58797786 62269242 68126961 68597417 133009781 136253922 137194834 205792251 266019562 399029343 401784871 411584502 432883331 798058686 803569742 865766662 931068467 1205354613 1298649993 1862136934 2410709226 2597299986 2793205401 2812494097 3030183317 5586410802 5624988194 6060366634 8437482291 9090549951 16874964582 17748216571 18181099902 35496433142 53244649713 106489299426 117311382701 124237515997 234622765402 248475031994 351934148103 372712547991 703868296206 745425095982 821179678907 1642359357814 2463539036721 4809766690741 4927078073442 9619533381482 14429300072223 28858600144446 33668366835187 67336733670374 101005100505561 202010201011122