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120314241 = 349715313
BaseRepresentation
bin1110010101111…
…01100110000001
322101101121010000
413022331212001
5221300023431
615534430213
72660440245
oct712754601
9271347100
10120314241
1161a06963
1234362369
131bc06c78
1411d9c425
15a8689e6
hex72bd981

120314241 has 20 divisors (see below), whose sum is σ = 181593412. Its totient is φ = 79377408.

The previous prime is 120314231. The next prime is 120314263. The reversal of 120314241 is 142413021.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 104346225 = 3996^2 + 10215^2 .

It is not a de Polignac number, because 120314241 - 26 = 120314177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120314231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201 + ... + 15513.

Almost surely, 2120314241 is an apocalyptic number.

It is an amenable number.

120314241 is a deficient number, since it is larger than the sum of its proper divisors (61279171).

120314241 is an equidigital number, since it uses as much as digits as its factorization.

120314241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15422 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120314241 is about 10968.7848460985. The cubic root of 120314241 is about 493.6725867844.

Adding to 120314241 its reverse (142413021), we get a palindrome (262727262).

The spelling of 120314241 in words is "one hundred twenty million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 15313 45939 137817 413451 1240353 1485361 4456083 13368249 40104747 120314241