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110210010220 = 225293110160689
BaseRepresentation
bin110011010100100000…
…1110100110001101100
3101112110201120121020101
41212221001310301230
53301202230311340
6122344011000444
710651051426102
oct1465101646154
9345421517211
10110210010220
114281574a982
1219439139124
13a514b7a5cb
14549704dc72
152d0077cc9a
hex19a9074c6c

110210010220 has 96 divisors (see below), whose sum is σ = 249596121600. Its totient is φ = 40782336000.

The previous prime is 110210010193. The next prime is 110210010223. The reversal of 110210010220 is 22010012011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110210010197 and 110210010206.

It is not an unprimeable number, because it can be changed into a prime (110210010223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1785636 + ... + 1846324.

It is an arithmetic number, because the mean of its divisors is an integer number (2599959600).

Almost surely, 2110210010220 is an apocalyptic number.

110210010220 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 110210010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798060800).

110210010220 is an abundant number, since it is smaller than the sum of its proper divisors (139386111380).

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

110210010220 is a wasteful number, since it uses less digits than its factorization.

110210010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60859 (or 60857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110210010220 its reverse (22010012011), we get a palindrome (132220022231).

The spelling of 110210010220 in words is "one hundred ten billion, two hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 101 116 124 145 155 202 290 310 404 505 580 620 899 1010 1798 2020 2929 3131 3596 4495 5858 6262 8990 11716 12524 14645 15655 17980 29290 31310 58580 60689 62620 90799 121378 181598 242756 303445 363196 453995 606890 907990 1213780 1759981 1815980 1881359 3519962 3762718 6129589 7039924 7525436 8799905 9406795 12259178 17599810 18813590 24518356 30647945 35199620 37627180 54559411 61295890 109118822 122591780 177758081 190017259 218237644 272797055 355516162 380034518 545594110 711032324 760069036 888790405 950086295 1091188220 1777580810 1900172590 3555161620 3800345180 5510500511 11021001022 22042002044 27552502555 55105005110 110210010220