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10110101200122 = 2371189809303931
BaseRepresentation
bin1001001100011111000011…
…1111011001110011111010
31022210111221100001201200010
42103013300333121303322
52311120441401400442
633300303311522350
72062300506165660
oct223076077316372
938714840051603
1010110101200122
1132487406152a0
1211734a45293b6
135844bc5c9251
1426d48d936c30
15127ec0d7ab9c
hex931f0fd9cfa

10110101200122 has 128 divisors (see below), whose sum is σ = 25524452505600. Its totient is φ = 2593276646400.

The previous prime is 10110101200091. The next prime is 10110101200153. The reversal of 10110101200122 is 22100210101101.

It is an interprime number because it is at equal distance from previous prime (10110101200091) and next prime (10110101200153).

It is a junction number, because it is equal to n+sod(n) for n = 10110101200098 and 10110101200107.

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, 33112497 + ... + 33416427.

It is an arithmetic number, because the mean of its divisors is an integer number (199409785200).

Almost surely, 210110101200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110101200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762226252800).

10110101200122 is an abundant number, since it is smaller than the sum of its proper divisors (15414351305478).

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

10110101200122 is a wasteful number, since it uses less digits than its factorization.

10110101200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304852.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110101200122 its reverse (22100210101101), we get a palindrome (32210311301223).

The spelling of 10110101200122 in words is "ten trillion, one hundred ten billion, one hundred one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 89 154 178 231 267 462 534 623 809 979 1246 1618 1869 1958 2427 2937 3738 4854 5663 5874 6853 8899 11326 13706 16989 17798 20559 26697 33978 41118 53394 62293 72001 124586 144002 186879 216003 303931 373758 432006 504007 607862 792011 911793 1008014 1512021 1584022 1823586 2127517 2376033 3024042 3343241 4255034 4752066 5544077 6382551 6686482 10029723 11088154 12765102 16632231 20059446 23402687 27049859 33264462 46805374 54099718 70208061 81149577 140416122 162299154 189349013 245880179 297548449 378698026 491760358 568047039 595096898 737640537 892645347 1136094078 1475281074 1721161253 1785290694 2082839143 2704681969 3442322506 4165678286 5163483759 5409363938 6248517429 8114045907 10326967518 12497034858 16228091814 18932773783 21883335931 37865547566 43766671862 56798321349 65650007793 113596642698 131300015586 153183351517 240716695241 306366703034 459550054551 481433390482 722150085723 919100109102 1444300171446 1685016866687 3370033733374 5055050600061 10110101200122