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110120302212 = 2231727126299
BaseRepresentation
bin110011010001110101…
…1100111011010000100
3101112020110202221222120
41212203223213122010
53301011244132322
6122331044125540
710645612060524
oct1464353473204
9345213687876
10110120302212
114277a048a28
12194130968b0
13a4cc3cb54b
14548917b684
152ce795ca5c
hex19a3ae7684

110120302212 has 108 divisors (see below), whose sum is σ = 276893492400. Its totient is φ = 34055553280.

The previous prime is 110120302147. The next prime is 110120302301. The reversal of 110120302212 is 212203021011.

It is a junction number, because it is equal to n+sod(n) for n = 110120302191 and 110120302200.

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 35 ways as a sum of consecutive naturals, for example, 17479039 + ... + 17485337.

Almost surely, 2110120302212 is an apocalyptic number.

110120302212 is a gapful number since it is divisible by the number (12) 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 110120302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138446746200).

110120302212 is an abundant number, since it is smaller than the sum of its proper divisors (166773190188).

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

110120302212 is a wasteful number, since it uses less digits than its factorization.

110120302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110120302212 its reverse (212203021011), we get a palindrome (322323323223).

The spelling of 110120302212 in words is "one hundred ten billion, one hundred twenty million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 289 426 578 852 867 1156 1207 1734 2414 3468 3621 4828 5041 6299 7242 10082 12598 14484 15123 18897 20164 20519 25196 30246 37794 41038 60492 61557 75588 82076 85697 107083 123114 171394 214166 246228 257091 321249 342788 428332 447229 514182 642498 894458 1028364 1284996 1341687 1456849 1788916 1820411 2683374 2913698 3640822 4370547 5366748 5461233 5827396 7281644 7602893 8741094 10922466 15205786 17482188 21844932 22808679 30411572 31753259 45617358 63506518 91234716 95259777 127013036 129249181 190519554 258498362 381039108 387747543 516996724 539805403 775495086 1079610806 1550990172 1619416209 2159221612 3238832418 6477664836 9176691851 18353383702 27530075553 36706767404 55060151106 110120302212