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22110120108 = 223219121726561
BaseRepresentation
bin10100100101110111…
…011010100010101100
32010001220002110212100
4110211313122202230
5330240142320413
614053544335100
71411623630366
oct244567324254
963056073770
1022110120108
11941664a53a
124350774490
1321148c9c0b
1410da647d36
15896131a73
hex525dda8ac

22110120108 has 72 divisors (see below), whose sum is σ = 58881579120. Its totient is φ = 6976143360.

The previous prime is 22110120103. The next prime is 22110120113. The reversal of 22110120108 is 80102101122.

It is an interprime number because it is at equal distance from previous prime (22110120103) and next prime (22110120113).

It is a super-2 number, since 2×221101201082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22110120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819148 + ... + 845708.

It is an arithmetic number, because the mean of its divisors is an integer number (817799710).

Almost surely, 222110120108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110120108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440789560).

22110120108 is an abundant number, since it is smaller than the sum of its proper divisors (36771459012).

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

22110120108 is a wasteful number, since it uses less digits than its factorization.

22110120108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 22110120108 in words is "twenty-two billion, one hundred ten million, one hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1217 2434 3651 4868 7302 10953 14604 21906 23123 26561 43812 46246 53122 69369 79683 92492 106244 138738 159366 208107 239049 277476 318732 416214 478098 504659 832428 956196 1009318 1513977 2018636 3027954 4541931 6055908 9083862 18167724 32324737 64649474 96974211 129298948 193948422 290922633 387896844 581845266 614170003 1163690532 1228340006 1842510009 2456680012 3685020018 5527530027 7370040036 11055060054 22110120108