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110106172 = 22113189907
BaseRepresentation
bin1101001000000…
…01011000111100
321200011222021101
412210001120330
5211141344142
614531542444
72504613151
oct644013074
9250158241
10110106172
1157174440
1230a5aa24
1319a717a7
14108a2228
1599ee0b7
hex690163c

110106172 has 48 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 47836800.

The previous prime is 110106169. The next prime is 110106173. The reversal of 110106172 is 271601011.

It is a super-2 number, since 2×1101061722 = 24246738224987168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110106173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120943 + ... + 121849.

It is an arithmetic number, because the mean of its divisors is an integer number (4576320).

Almost surely, 2110106172 is an apocalyptic number.

It is an amenable number.

110106172 is a deficient number, since it is larger than the sum of its proper divisors (109557188).

110106172 is a wasteful number, since it uses less digits than its factorization.

110106172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 110106172 is about 10493.1488124395. The cubic root of 110106172 is about 479.2960920840.

Adding to 110106172 its reverse (271601011), we get a palindrome (381707183).

The spelling of 110106172 in words is "one hundred ten million, one hundred six thousand, one hundred seventy-two".

Divisors: 1 2 4 11 22 31 44 62 89 124 178 341 356 682 907 979 1364 1814 1958 2759 3628 3916 5518 9977 11036 19954 28117 30349 39908 56234 60698 80723 112468 121396 161446 309287 322892 618574 887953 1237148 1775906 2502413 3551812 5004826 10009652 27526543 55053086 110106172