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120102100 = 22521201021
BaseRepresentation
bin1110010100010…
…01110011010100
322100222211002221
413022021303110
5221221231400
615530112124
72655564616
oct712116324
9270884087
10120102100
1161881538
123427b644
131bb61541
1411d44db6
15a825c1a
hex7289cd4

120102100 has 18 divisors (see below), whose sum is σ = 260621774. Its totient is φ = 48040800.

The previous prime is 120102077. The next prime is 120102121. The reversal of 120102100 is 1201021.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 120077764 = 156^2 + 10958^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 600411 + ... + 600610.

Almost surely, 2120102100 is an apocalyptic number.

120102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102100 is an abundant number, since it is smaller than the sum of its proper divisors (140519674).

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

120102100 is a wasteful number, since it uses less digits than its factorization.

120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201035 (or 1201028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 120102100 is about 10959.1103653536. The cubic root of 120102100 is about 493.3822642401.

Adding to 120102100 its reverse (1201021), we get a palindrome (121303121).

Multiplying 120102100 by its reverse (1201021), we get a square (144245144244100 = 120102102).

120102100 divided by its reverse (1201021) gives a square (100 = 102).

The spelling of 120102100 in words is "one hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1201021 2402042 4804084 6005105 12010210 24020420 30025525 60051050 120102100