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101110010110110 = 232521611006951631
BaseRepresentation
bin10110111111010110000010…
…001111000110000010011110
3111021000000121110011120121100
4112333112002033012002132
5101223041300042010420
6555013144123413530
730203646210330261
oct2677260217060236
9437000543146540
10101110010110110
112a242572858041
12b40b9699842a6
13445582ca3b3a1
141ad7a71910cd8
15ba5183e79190
hex5bf5823c609e

101110010110110 has 96 divisors (see below), whose sum is σ = 263038891489920. Its totient is φ = 26946993945600.

The previous prime is 101110010110099. The next prime is 101110010110117. The reversal of 101110010110110 is 11011010011101.

101110010110110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110010110092 and 101110010110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010110117) 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, 1958293995 + ... + 1958345625.

It is an arithmetic number, because the mean of its divisors is an integer number (2739988453020).

Almost surely, 2101110010110110 is an apocalyptic number.

101110010110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110010110110 is an abundant number, since it is smaller than the sum of its proper divisors (161928881379810).

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

101110010110110 is a wasteful number, since it uses less digits than its factorization.

101110010110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63874 (or 63871 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110010110110 its reverse (11011010011101), we get a palindrome (112121020121211).

Subtracting from 101110010110110 its reverse (11011010011101), we obtain a palindrome (90099000099009).

The spelling of 101110010110110 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2161 4322 6483 10069 10805 12966 19449 20138 21610 30207 32415 38898 50345 51631 60414 64830 90621 97245 100690 103262 151035 154893 181242 194490 258155 302070 309786 453105 464679 516310 774465 906210 929358 1548930 2323395 4646790 21759109 43518218 65277327 108795545 111574591 130554654 195831981 217591090 223149182 326386635 334723773 391663962 519872539 557872955 652773270 669447546 979159905 1004171319 1039745078 1115745910 1559617617 1673618865 1958319810 2008342638 2599362695 3119235234 3347237730 4678852851 5020856595 5198725390 7798088085 9357705702 10041713190 15596176170 23394264255 46788528510 1123444556779 2246889113558 3370333670337 5617222783895 6740667340674 10111001011011 11234445567790 16851668351685 20222002022022 33703336703370 50555005055055 101110010110110