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110101131030 = 235111919789137
BaseRepresentation
bin110011010001010001…
…0011110111100010110
3101112012010200222001210
41212202202132330112
53300441342143110
6122325121202250
710645260113052
oct1464242367426
9345163628053
10110101131030
114276a244380
1219408790386
13a4c8448457
1454867cac62
152ce5e22520
hex19a289ef16

110101131030 has 128 divisors (see below), whose sum is σ = 304980318720. Its totient is φ = 25157744640.

The previous prime is 110101131029. The next prime is 110101131053. The reversal of 110101131030 is 30131101011.

It is a junction number, because it is equal to n+sod(n) for n = 110101130997 and 110101131015.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1190622 + ... + 1279758.

It is an arithmetic number, because the mean of its divisors is an integer number (2382658740).

Almost surely, 2110101131030 is an apocalyptic number.

110101131030 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 110101131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152490159360).

110101131030 is an abundant number, since it is smaller than the sum of its proper divisors (194879187690).

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

110101131030 is a wasteful number, since it uses less digits than its factorization.

110101131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89374.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 110101131030 its reverse (30131101011), we get a palindrome (140232232041).

The spelling of 110101131030 in words is "one hundred ten billion, one hundred one million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 197 209 285 330 394 418 570 591 627 985 1045 1182 1254 1970 2090 2167 2955 3135 3743 4334 5910 6270 6501 7486 10835 11229 13002 18715 21670 22458 32505 37430 41173 56145 65010 82346 89137 112290 123519 178274 205865 247038 267411 411730 445685 534822 617595 891370 980507 1235190 1337055 1693603 1961014 2674110 2941521 3387206 4902535 5080809 5883042 8468015 9805070 10161618 14707605 16936030 17559989 18629633 25404045 29415210 35119978 37259266 50808090 52679967 55888899 87799945 93148165 105359934 111777798 175599890 186296330 193159879 263399835 279444495 333639791 386319758 526799670 558888990 579479637 667279582 965799395 1000919373 1158959274 1668198955 1931598790 2001838746 2897398185 3336397910 3670037701 5004596865 5794796370 7340075402 10009193730 11010113103 18350188505 22020226206 36700377010 55050565515 110101131030