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10110113113122 = 23211178273631921
BaseRepresentation
bin1001001100011111000110…
…1100110110010000100010
31022210111222011110222020100
42103013301230312100202
52311121002424104442
633300304415123230
72062301012353521
oct223076154662042
938714864428210
1010110113113122
113248747311750
1211734a8513516
135844c1c0a769
1426d4913584b8
15127ec1e3084c
hex931f1b36422

10110113113122 has 96 divisors (see below), whose sum is σ = 25332917448384. Its totient is φ = 2879967283200.

The previous prime is 10110113113057. The next prime is 10110113113129. The reversal of 10110113113122 is 22131131101101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10110113113095 and 10110113113104.

It is not an unprimeable number, because it can be changed into a prime (10110113113129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967722 + ... + 4599642.

It is an arithmetic number, because the mean of its divisors is an integer number (263884556754).

Almost surely, 210110113113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110113113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666458724192).

10110113113122 is an abundant number, since it is smaller than the sum of its proper divisors (15222804335262).

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

10110113113122 is a wasteful number, since it uses less digits than its factorization.

10110113113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632784 (or 3632781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10110113113122 its reverse (22131131101101), we get a palindrome (32241244214223).

The spelling of 10110113113122 in words is "ten trillion, one hundred ten billion, one hundred thirteen million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 827 1122 1654 1683 2481 3366 4962 7443 9097 14059 14886 18194 27291 28118 42177 54582 81873 84354 126531 154649 163746 253062 309298 463947 927894 1391841 2783682 3631921 7263842 10895763 21791526 32687289 39951131 61742657 65374578 79902262 119853393 123485314 185227971 239706786 359560179 370455942 555683913 679169227 719120358 1111367826 1358338454 2037507681 3003598667 4075015362 6007197334 6112523043 9010796001 12225046086 18021592002 27032388003 33039585337 51061177339 54064776006 66079170674 99118756011 102122354678 153183532017 198237512022 297356268033 306367064034 459550596051 561672950729 594712536066 919101192102 1123345901458 1685018852187 3370037704374 5055056556561 10110113113122