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120101112 = 23323745083
BaseRepresentation
bin1110010100010…
…01100011111000
322100222202202100
413022021203320
5221221213422
615530103400
72655562005
oct712114370
9270882670
10120101112
116188081a
123427ab60
131bb60c61
1411d448ac
15a8257ac
hex72898f8

120101112 has 48 divisors (see below), whose sum is σ = 334072440. Its totient is φ = 38950848.

The previous prime is 120101089. The next prime is 120101119. The reversal of 120101112 is 211101021.

It is a happy number.

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 = 120101094 and 120101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19878 + ... + 25205.

Almost surely, 2120101112 is an apocalyptic number.

120101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120101112 is an abundant number, since it is smaller than the sum of its proper divisors (213971328).

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

120101112 is a wasteful number, since it uses less digits than its factorization.

120101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45132 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 120101112 is about 10959.0652886092. The cubic root of 120101112 is about 493.3809113273.

Adding to 120101112 its reverse (211101021), we get a palindrome (331202133).

Subtracting 120101112 from its reverse (211101021), we obtain a palindrome (90999909).

The spelling of 120101112 in words is "one hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 45083 90166 135249 180332 270498 360664 405747 540996 811494 1081992 1622988 1668071 3245976 3336142 5004213 6672284 10008426 13344568 15012639 20016852 30025278 40033704 60050556 120101112