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101010130110 = 2335412222553
BaseRepresentation
bin101111000010010101…
…1000100010010111110
3100122201120101021021000
41132010223010102332
53123332043130420
6114223045351130
710204060640151
oct1360453042276
9318646337230
10101010130110
113992464887a
12176b01084a6
1396a9b85776
144c63287c98
152962c6c690
hex1784ac44be

101010130110 has 96 divisors (see below), whose sum is σ = 276091590240. Its totient is φ = 26278940160.

The previous prime is 101010130087. The next prime is 101010130127. The reversal of 101010130110 is 11031010101.

It is a super-2 number, since 2×1010101301102 (a number of 23 digits) contains 22 as substring.

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 = 101010130092 and 101010130101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342594 + ... + 565146.

It is an arithmetic number, because the mean of its divisors is an integer number (2875954065).

Almost surely, 2101010130110 is an apocalyptic number.

101010130110 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 101010130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138045795120).

101010130110 is an abundant number, since it is smaller than the sum of its proper divisors (175081460130).

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

101010130110 is a wasteful number, since it uses less digits than its factorization.

101010130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222651 (or 222604 counting only the distinct ones).

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

Adding to 101010130110 its reverse (11031010101), we get a palindrome (112041140211).

The spelling of 101010130110 in words is "one hundred one billion, ten million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1681 1845 2214 3362 3690 5043 5535 8405 10086 11070 15129 16810 25215 30258 45387 50430 75645 90774 151290 222553 226935 445106 453870 667659 1112765 1335318 2002977 2225530 3338295 4005954 6008931 6676590 9124673 10014885 12017862 18249346 20029770 27374019 30044655 45623365 54748038 60089310 82122057 91246730 136870095 164244114 246366171 273740190 374111593 410610285 492732342 748223186 821220570 1122334779 1231830855 1870557965 2244669558 2463661710 3367004337 3741115930 5611673895 6734008674 10101013011 11223347790 16835021685 20202026022 33670043370 50505065055 101010130110