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120204045 = 32513205477
BaseRepresentation
bin1110010101000…
…10101100001101
322101011222221200
413022202230031
5221233012140
615532220113
72656501053
oct712425415
9271158850
10120204045
1161941095
123430a639
131bb98a70
1411d701d3
15a846030
hex72a2b0d

120204045 has 24 divisors (see below), whose sum is σ = 224381976. Its totient is φ = 59177088.

The previous prime is 120204041. The next prime is 120204061. The reversal of 120204045 is 540402021.

It can be written as a sum of positive squares in 4 ways, for example, as 13329801 + 106874244 = 3651^2 + 10338^2 .

It is not a de Polignac number, because 120204045 - 22 = 120204041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120204041) 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 23 ways as a sum of consecutive naturals, for example, 102154 + ... + 103323.

It is an arithmetic number, because the mean of its divisors is an integer number (9349249).

Almost surely, 2120204045 is an apocalyptic number.

120204045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120204045 is a deficient number, since it is larger than the sum of its proper divisors (104177931).

120204045 is a wasteful number, since it uses less digits than its factorization.

120204045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205501 (or 205498 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120204045 is about 10963.7605318613. The cubic root of 120204045 is about 493.5218222505.

Adding to 120204045 its reverse (540402021), we get a palindrome (660606066).

The spelling of 120204045 in words is "one hundred twenty million, two hundred four thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 205477 616431 1027385 1849293 2671201 3082155 8013603 9246465 13356005 24040809 40068015 120204045