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120121983 = 3217246183
BaseRepresentation
bin1110010100011…
…10101001111111
322101000211101100
413022032221333
5221222400413
615530344143
72656006602
oct712165177
9271024340
10120121983
1161895473
123428b053
131bb6a5c7
1411d4c339
15a82ba73
hex728ea7f

120121983 has 18 divisors (see below), whose sum is σ = 184320344. Its totient is φ = 75369024.

The previous prime is 120121957. The next prime is 120121997. The reversal of 120121983 is 389121021.

It is not a de Polignac number, because 120121983 - 25 = 120121951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20491 + ... + 25692.

Almost surely, 2120121983 is an apocalyptic number.

120121983 is a deficient number, since it is larger than the sum of its proper divisors (64198361).

120121983 is a wasteful number, since it uses less digits than its factorization.

120121983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46223 (or 46203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120121983 is about 10960.0174726138. The cubic root of 120121983 is about 493.4094893490.

It can be divided in two parts, 120121 and 983, that added together give a square (121104 = 3482).

The spelling of 120121983 in words is "one hundred twenty million, one hundred twenty-one thousand, nine hundred eighty-three".

Divisors: 1 3 9 17 51 153 289 867 2601 46183 138549 415647 785111 2355333 7065999 13346887 40040661 120121983