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200202020122221 = 3213291133923133103
BaseRepresentation
bin101101100001010100101010…
…010010101110111001101101
3222020212010102000010120210100
4231201110222102232321231
5202220102214122402341
61545443312141501313
760112055456111625
oct5541245222567155
9866763360116710
10200202020122221
1158877222115247
121a5545ab571839
138792c7ac7c340
143761b8811b885
151822aa9a4d3b6
hexb6152a4aee6d

200202020122221 has 96 divisors (see below), whose sum is σ = 325100471754240. Its totient is φ = 117869304526848.

The previous prime is 200202020122213. The next prime is 200202020122259. The reversal of 200202020122221 is 122221020202002.

200202020122221 is a `hidden beast` number, since 20 + 0 + 202 + 0 + 201 + 22 + 221 = 666.

It is not a de Polignac number, because 200202020122221 - 23 = 200202020122213 is a prime.

It is a super-2 number, since 2×2002020201222212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200202020122194 and 200202020122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202020122271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1504046956 + ... + 1504180058.

It is an arithmetic number, because the mean of its divisors is an integer number (3386463247440).

Almost surely, 2200202020122221 is an apocalyptic number.

It is an amenable number.

200202020122221 is a deficient number, since it is larger than the sum of its proper divisors (124898451632019).

200202020122221 is a wasteful number, since it uses less digits than its factorization.

200202020122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137187 (or 137184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200202020122221 its reverse (122221020202002), we get a palindrome (322423040324223).

The spelling of 200202020122221 in words is "two hundred trillion, two hundred two billion, twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 113 117 261 339 377 1017 1131 1469 3277 3393 3923 4407 9831 11769 13221 29493 35307 42601 50999 113767 127803 133103 152997 341301 383409 399309 443299 458991 1023903 1197927 1329897 1478971 1730339 3859987 3989691 4436913 5191017 5762887 11579961 12855671 13310739 15040639 15573051 17288661 34739883 38567013 45121917 50179831 51865983 115701039 135365751 150539493 167123723 195528307 436178531 451618479 501371169 522163069 586584921 1308535593 1504113507 1566489207 1759754763 3925606779 4699467621 5670320903 6788119897 15142729001 17010962709 20364359691 45428187003 51032888127 59004426797 61093079073 136284561009 177013280391 196855477013 531039841173 590566431039 767057548361 1711128377113 1771699293117 2301172645083 5133385131339 6903517935249 15400155394017 22244668902469 66734006707407 200202020122221