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200101010122122 = 233137439523712647
BaseRepresentation
bin101101011111110110100101…
…101000001010010110001010
3222020111110200102222220212120
4231133312211220022112022
5202211423332042401442
61545325045054552110
760101551366222464
oct5537664550122612
9866443612886776
10200101010122122
11588383a865611a
121a538abb508636
1387865a1140b05
14375ad24ca9134
151820146d094ec
hexb5fda5a0a58a

200101010122122 has 128 divisors (see below), whose sum is σ = 425358238187520. Its totient is φ = 62644172532480.

The previous prime is 200101010122109. The next prime is 200101010122147. The reversal of 200101010122122 is 221221010101002.

It is a super-2 number, since 2×2001010101221222 (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, 15822007603 + ... + 15822020249.

It is an arithmetic number, because the mean of its divisors is an integer number (3323111235840).

Almost surely, 2200101010122122 is an apocalyptic number.

200101010122122 is an abundant number, since it is smaller than the sum of its proper divisors (225257228065398).

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

200101010122122 is a wasteful number, since it uses less digits than its factorization.

200101010122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396.

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

Adding to 200101010122122 its reverse (221221010101002), we get a palindrome (421322020223124).

The spelling of 200101010122122 in words is "two hundred trillion, one hundred one billion, ten million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 439 878 1147 1317 2294 2634 3441 5237 6882 10474 12647 13609 15711 16243 25294 27218 31422 32486 37941 40827 48729 75882 81654 97458 162347 193769 324694 387538 392057 467939 487041 503533 581307 784114 935878 974082 1007066 1162614 1176171 1403817 1510599 2299043 2352342 2807634 3021198 4598086 5552033 6006839 6897129 11104066 12013678 13794258 14506109 16656099 18020517 29012218 33312198 36041034 43518327 66232339 71270333 85064591 87036654 132464678 142540666 170129182 172113023 198697017 205425221 213810999 255193773 344226046 397394034 410850442 427621998 510387546 516339069 616275663 1032678138 1232551326 2053202509 2450596543 2637002321 4106405018 4901193086 5274004642 6159607527 6368181851 7351789629 7911006963 12319215054 12736363702 14703579258 15822013926 19104545553 29075996821 38209091106 58151993642 75968492833 87227990463 151936985666 174455980926 227905478499 455810956998 901355901451 1075811882377 1802711802902 2151623764754 2704067704353 3227435647131 5408135408706 6454871294262 33350168353687 66700336707374 100050505061061 200101010122122