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110102120 = 23510127253
BaseRepresentation
bin1101001000000…
…00011001101000
321200011202201022
412210000121220
5211141231440
614531512012
72504565302
oct644003150
9250152638
10110102120
1157171397
1230a58608
1319a6c9ab
14108a0972
1599eccb5
hex6900668

110102120 has 32 divisors (see below), whose sum is σ = 250191720. Its totient is φ = 43603200.

The previous prime is 110102089. The next prime is 110102143. The reversal of 110102120 is 21201011.

It can be written as a sum of positive squares in 4 ways, for example, as 107205316 + 2896804 = 10354^2 + 1702^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110102098 and 110102107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9587 + ... + 17666.

Almost surely, 2110102120 is an apocalyptic number.

110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102120 is an abundant number, since it is smaller than the sum of its proper divisors (140089600).

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

110102120 is a wasteful number, since it uses less digits than its factorization.

110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27365 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 110102120 is about 10492.9557322996. The cubic root of 110102120 is about 479.2902125117.

Adding to 110102120 its reverse (21201011), we get a palindrome (131303131).

The spelling of 110102120 in words is "one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 27253 54506 109012 136265 218024 272530 545060 1090120 2752553 5505106 11010212 13762765 22020424 27525530 55051060 110102120