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110100020022 = 232174112017307
BaseRepresentation
bin110011010001001111…
…0001111101100110110
3101112012001121112001100
41212202132033230312
53300441101120042
6122325041310530
710645244505006
oct1464236175466
9345161545040
10110100020022
1142769655693
1219408335446
13a4c8149855
1454865bc006
152ce5ca324c
hex19a278fb36

110100020022 has 96 divisors (see below), whose sum is σ = 258993824544. Its totient is φ = 33666048000.

The previous prime is 110100019973. The next prime is 110100020059. The reversal of 110100020022 is 220020001011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100019986 and 110100020013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15064093 + ... + 15071399.

It is an arithmetic number, because the mean of its divisors is an integer number (2697852339).

Almost surely, 2110100020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129496912272).

110100020022 is an abundant number, since it is smaller than the sum of its proper divisors (148893804522).

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

110100020022 is a wasteful number, since it uses less digits than its factorization.

110100020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110100020022 its reverse (220020001011), we get a palindrome (330120021033).

The spelling of 110100020022 in words is "one hundred ten billion, one hundred million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1201 1394 2091 2402 3603 4182 6273 7206 7307 10809 12546 14614 20417 21618 21921 40834 43842 49241 61251 65763 98482 122502 124219 131526 147723 183753 248438 295446 299587 367506 372657 443169 599174 745314 837097 886338 898761 1117971 1674194 1797522 2235942 2511291 2696283 5022582 5092979 5392566 7533873 8775707 10185958 15067746 15278937 17551414 26327121 30557874 45836811 52654242 78981363 91673622 149187019 157962726 298374038 359803987 447561057 719607974 895122114 1079411961 1342683171 2158823922 2685366342 3238235883 6116667779 6476471766 12233335558 18350003337 36700006674 55050010011 110100020022