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10110000108 = 2231367214437
BaseRepresentation
bin10010110101001101…
…00101101111101100
3222002120202012220110
421122212211233230
5131201130000413
64351112220020
7505351403655
oct113246455754
928076665813
1010110000108
11431891679a
121b6199a610
13c517228b0
146bc9d852c
153e288a8c3
hex25a9a5bec

10110000108 has 72 divisors (see below), whose sum is σ = 25791234672. Its totient is φ = 3064127616.

The previous prime is 10110000101. The next prime is 10110000137. The reversal of 10110000108 is 80100001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10110000093 and 10110000102.

It is not an unprimeable number, because it can be changed into a prime (10110000101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 693066 + ... + 707502.

Almost surely, 210110000108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895617336).

10110000108 is an abundant number, since it is smaller than the sum of its proper divisors (15681234564).

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

10110000108 is a wasteful number, since it uses less digits than its factorization.

10110000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14522 counting only the distinct ones).

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

Adding to 10110000108 its reverse (80100001101), we get a palindrome (90210001209).

The spelling of 10110000108 in words is "ten billion, one hundred ten million, one hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 4489 5226 8978 10452 13467 14437 17956 26934 28874 43311 53868 57748 58357 86622 116714 173244 175071 187681 233428 350142 375362 563043 700284 750724 967279 1126086 1934558 2252172 2901837 3869116 5803674 11607348 12574627 25149254 37723881 50298508 64807693 75447762 129615386 150895524 194423079 259230772 388846158 777692316 842500009 1685000018 2527500027 3370000036 5055000054 10110000108