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101020222122111 = 321727313723916249
BaseRepresentation
bin10110111110000010011010…
…011101000110100001111111
3111020200102211222020012021100
4112332002122131012201333
5101220103403330401421
6554504014355304143
730164320164120435
oct2676023235064177
9436612758205240
10101020222122111
112a208487883786
12b3b648bbab053
13444a220b1a9c6
141ad3594c40d55
15ba2b7b52ac26
hex5be09a74687f

101020222122111 has 144 divisors (see below), whose sum is σ = 158948758800000. Its totient is φ = 61797147181056.

The previous prime is 101020222122091. The next prime is 101020222122133. The reversal of 101020222122111 is 111221222020101.

101020222122111 is a `hidden beast` number, since 1 + 0 + 10 + 202 + 221 + 221 + 11 = 666.

It is not a de Polignac number, because 101020222122111 - 210 = 101020222121087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020222122161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6217003515 + ... + 6217019763.

It is an arithmetic number, because the mean of its divisors is an integer number (1103810825000).

Almost surely, 2101020222122111 is an apocalyptic number.

101020222122111 is a deficient number, since it is larger than the sum of its proper divisors (57928536677889).

101020222122111 is a wasteful number, since it uses less digits than its factorization.

101020222122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101020222122111 its reverse (111221222020101), we get a palindrome (212241444142212).

The spelling of 101020222122111 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 17 51 73 137 153 219 239 289 411 657 717 867 1233 1241 2151 2329 2601 3723 4063 6987 10001 11169 12189 16249 17447 20961 21097 30003 32743 36567 39593 48747 52341 63291 69071 90009 98229 118779 146241 157023 170017 189873 207213 276233 294687 296599 356337 510051 556631 621639 828699 889797 1186177 1530153 1669893 2226113 2390239 2486097 2669391 2890289 3558531 3883511 4695961 5009679 5042183 6678339 7170717 8670867 9462727 10675593 11650533 14087883 15126549 20035017 20165009 21512151 26012601 28388181 34951599 37843921 40634063 42263649 45379647 60495027 66019687 85164543 113531763 121902189 162506249 181485081 198059061 283496303 340595289 342805153 365706567 487518747 532041007 594177183 643346657 690779071 850488909 1028415459 1122334679 1462556241 1596123021 1930039971 2072337213 2551466727 2762606233 3085246377 3367004037 4788369063 4819437151 5790119913 6217011639 8287818699 9044697119 10101012111 14458311453 24863456097 27134091357 38838993511 43374934359 46964305961 81402274071 81930431567 116516980533 140892917883 153759851023 245791294701 349550941599 422678753649 461279553069 660262889687 737373884103 1383838659207 1980788669061 5942366007183 11224469124679 33673407374037 101020222122111