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10113100110 = 23252937104723
BaseRepresentation
bin10010110101100100…
…11010100101001110
3222002210120201022100
421122302122211032
5131202423200420
64351302455530
7505416634611
oct113262324516
928083521270
1010113100110
11431a643883
121b62a345a6
13c52269909
146bd1a4178
153e2c9e190
hex25ac9a94e

10113100110 has 96 divisors (see below), whose sum is σ = 27936174240. Its totient is φ = 2533434624.

The previous prime is 10113100099. The next prime is 10113100141. The reversal of 10113100110 is 1100131101.

10113100110 is digitally balanced in base 2, 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 = 10113100092 and 10113100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44209 + ... + 148931.

It is an arithmetic number, because the mean of its divisors is an integer number (291001815).

Almost surely, 210113100110 is an apocalyptic number.

10113100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968087120).

10113100110 is an abundant number, since it is smaller than the sum of its proper divisors (17823074130).

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

10113100110 is a wasteful number, since it uses less digits than its factorization.

10113100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104802 (or 104799 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10113100110 its reverse (1100131101), we get a palindrome (11213231211).

It can be divided in two parts, 1011 and 3100110, that added together give a square (3101121 = 17612).

The spelling of 10113100110 in words is "ten billion, one hundred thirteen million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 104723 209446 314169 523615 628338 942507 1047230 1570845 1885014 3036967 3141690 3874751 4712535 6073934 7749502 9110901 9425070 11624253 15184835 18221802 19373755 23248506 27332703 30369670 34872759 38747510 45554505 54665406 58121265 69745518 91109010 112367779 116242530 136663515 174363795 224735558 273327030 337103337 348727590 561838895 674206674 1011310011 1123677790 1685516685 2022620022 3371033370 5056550055 10113100110