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110221100022 = 231121249121553
BaseRepresentation
bin110011010100110110…
…0001000001111110110
3101112111111110000120210
41212221230020033312
53301213100200042
6122345044410250
710651244614635
oct1465154101766
9345444400523
10110221100022
1142820a34900
12194409a6986
13a517261217
1454986d951c
152d0171da9c
hex19a9b083f6

110221100022 has 48 divisors (see below), whose sum is σ = 242500230000. Its totient is φ = 33373317120.

The previous prime is 110221099987. The next prime is 110221100047. The reversal of 110221100022 is 220001122011.

It is a junction number, because it is equal to n+sod(n) for n = 110221099980 and 110221100007.

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 23 ways as a sum of consecutive naturals, for example, 845998 + ... + 967550.

It is an arithmetic number, because the mean of its divisors is an integer number (5052088125).

Almost surely, 2110221100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121250115000).

110221100022 is an abundant number, since it is smaller than the sum of its proper divisors (132279129978).

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

110221100022 is a wasteful number, since it uses less digits than its factorization.

110221100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122829 (or 122818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110221100022 its reverse (220001122011), we get a palindrome (330222222033).

The spelling of 110221100022 in words is "one hundred ten billion, two hundred twenty-one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1249 2498 3747 7494 13739 27478 41217 82434 121553 151129 243106 302258 364659 453387 729318 906774 1337083 2674166 4011249 8022498 14707913 29415826 44123739 88247478 151819697 303639394 455459091 910918182 1670016667 3340033334 5010050001 10020100002 18370183337 36740366674 55110550011 110221100022