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122201101110020 = 225411131701177527
BaseRepresentation
bin11011110010010000101001…
…001110010000101100000100
3121000200022101211211202101112
4123302100221032100230010
5112004120323341010040
61111522224424344152
734511511130004432
oct3362205116205404
9530608354752345
10122201101110020
1135a34217889479
1211857485615058
13532568c15c1aa
1422267c9d4bd52
15e1dae75ac365
hex6f2429390b04

122201101110020 has 96 divisors (see below), whose sum is σ = 265226788544256. Its totient is φ = 47262826598400.

The previous prime is 122201101109987. The next prime is 122201101110097. The reversal of 122201101110020 is 20011101102221.

It is a super-2 number, since 2×1222011011100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201101109977 and 122201101110004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576200497 + ... + 1576278023.

It is an arithmetic number, because the mean of its divisors is an integer number (2762779047336).

Almost surely, 2122201101110020 is an apocalyptic number.

122201101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132613394272128).

122201101110020 is an abundant number, since it is smaller than the sum of its proper divisors (143025687434236).

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

122201101110020 is a wasteful number, since it uses less digits than its factorization.

122201101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94701 (or 94699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201101110020 its reverse (20011101102221), we get a palindrome (142212202212241).

The spelling of 122201101110020 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 17011 18532 23165 34022 46330 68044 77527 85055 92660 155054 170110 310108 340220 387635 697451 775270 1394902 1550540 1922243 2789804 3178607 3487255 3844486 6357214 6974510 7688972 8760551 9611215 12714428 13949020 15893035 17521102 19222430 31786070 35042204 38444860 43802755 63572140 78811963 87605510 157623926 175211020 315247852 359182591 394059815 718365182 788119630 1318811797 1436730364 1576239260 1795912955 2637623594 3591825910 5275247188 6594058985 7183651820 13188117970 26376235940 54071283677 108142567354 149025733061 216285134708 270356418385 298051466122 540712836770 596102932244 745128665305 1081425673540 1490257330610 2980514661220 6110055055501 12220110111002 24440220222004 30550275277505 61100550555010 122201101110020