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213142234042422 = 235612868113577
BaseRepresentation
bin110000011101101000001011…
…001001011001000000110110
31000221200012100202120120200000
4300131220023021121000312
5210414110243403324142
62033152105055132130
762616006153440556
oct6035501311310066
91027605322516600
10213142234042422
1161a06128568333
121baa4486b14046
1391c12c35c9879
143a8c1d3c57166
1519994ba63b14c
hexc1da0b259036

213142234042422 has 144 divisors (see below), whose sum is σ = 486983857507056. Its totient is φ = 69869503065600.

The previous prime is 213142234042421. The next prime is 213142234042429. The reversal of 213142234042422 is 224240432241312.

213142234042422 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 2 + 2 + 3 + 404 + 242 + 2 = 666.

It is a super-2 number, since 2×2131422340424222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213142234042421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15698765698 + ... + 15698779274.

It is an arithmetic number, because the mean of its divisors is an integer number (3381832343799).

Almost surely, 2213142234042422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213142234042422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243491928753528).

213142234042422 is an abundant number, since it is smaller than the sum of its proper divisors (273841623464634).

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

213142234042422 is an equidigital number, since it uses as much as digits as its factorization.

213142234042422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22397 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 213142234042422 its reverse (224240432241312), we get a palindrome (437382666283734).

The spelling of 213142234042422 in words is "two hundred thirteen trillion, one hundred forty-two billion, two hundred thirty-four million, forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 1098 1647 3294 3721 4941 7442 8681 9882 11163 13577 14823 17362 22326 26043 27154 29646 33489 40731 52086 66978 78129 81462 100467 122193 156258 200934 234387 244386 301401 366579 468774 529541 602802 703161 733158 828197 904203 1059082 1099737 1406322 1588623 1656394 1808406 2109483 2199474 2484591 3177246 3299211 4218966 4765869 4969182 6598422 7453773 9531738 14297607 14907546 22361319 28595214 32302001 42892821 44722638 50520017 64604002 67083957 85785642 96906003 101040034 117861937 128678463 134167914 151560051 193812006 201251871 235723874 257356926 290718009 303120102 353585811 402503742 454680153 581436018 707171622 872154027 909360306 1060757433 1364040459 1744308054 2121514866 2616462081 2728080918 3182272299 4092121377 5232924162 6364544598 7189578157 7849386243 8184242754 9546816897 12276364131 14379156314 15698772486 19093633794 21568734471 24552728262 28640450691 43137468942 57280901382 64706203413 129412406826 194118610239 388237220478 438564267577 582355830717 877128535154 1164711661434 1315692802731 1747067492151 2631385605462 3494134984302 3947078408193 7894156816386 11841235224579 23682470449158 35523705673737 71047411347474 106571117021211 213142234042422