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110101130220 = 223541160727851
BaseRepresentation
bin110011010001010001…
…0011110101111101100
3101112012010200220221210
41212202202132233230
53300441342131340
6122325121154420
710645260110514
oct1464242365754
9345163626853
10110101130220
114276a243804
121940878ba10
13a4c8447c83
1454867ca844
152ce5e22180
hex19a289ebec

110101130220 has 96 divisors (see below), whose sum is σ = 316010128896. Its totient is φ = 28625344000.

The previous prime is 110101130201. The next prime is 110101130231. The reversal of 110101130220 is 22031101011.

110101130220 is digitally balanced in base 3, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 110101130196 and 110101130205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939295 + ... + 3967145.

It is an arithmetic number, because the mean of its divisors is an integer number (3291772176).

Almost surely, 2110101130220 is an apocalyptic number.

110101130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158005064448).

110101130220 is an abundant number, since it is smaller than the sum of its proper divisors (205908998676).

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

110101130220 is a wasteful number, since it uses less digits than its factorization.

110101130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29511 (or 29509 counting only the distinct ones).

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

Adding to 110101130220 its reverse (22031101011), we get a palindrome (132132231231).

The spelling of 110101130220 in words is "one hundred ten billion, one hundred one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1607 2460 3214 4821 6428 8035 9642 16070 19284 24105 27851 32140 48210 55702 65887 83553 96420 111404 131774 139255 167106 197661 263548 278510 329435 334212 395322 417765 557020 658870 790644 835530 988305 1141891 1317740 1671060 1976610 2283782 3425673 3953220 4567564 5709455 6851346 11418910 13702692 17128365 22837820 34256730 44756557 68513460 89513114 134269671 179026228 223782785 268539342 447565570 537078684 671348355 895131140 1342696710 1835018837 2685393420 3670037674 5505056511 7340075348 9175094185 11010113022 18350188370 22020226044 27525282555 36700376740 55050565110 110101130220