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120242241 = 32717192311
BaseRepresentation
bin1110010101011…
…00000001000001
322101020221100100
413022230001001
5221240222431
615533113013
72660020320
oct712540101
9271227310
10120242241
1161967859
1234328769
131bbb0272
1411d800b7
15a8524e6
hex72ac041

120242241 has 72 divisors (see below), whose sum is σ = 222528384. Its totient is φ = 61067520.

The previous prime is 120242237. The next prime is 120242249. The reversal of 120242241 is 142242021.

120242241 is a `hidden beast` number, since 1 + 202 + 422 + 41 = 666.

It is not a de Polignac number, because 120242241 - 22 = 120242237 is a prime.

It is a super-3 number, since 3×1202422413 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386476 + ... + 386786.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2120242241 is an apocalyptic number.

It is an amenable number.

120242241 is a deficient number, since it is larger than the sum of its proper divisors (102286143).

120242241 is a wasteful number, since it uses less digits than its factorization.

120242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120242241 is about 10965.5023140757. The cubic root of 120242241 is about 493.5740904950.

Adding to 120242241 its reverse (142242021), we get a palindrome (262484262).

The spelling of 120242241 in words is "one hundred twenty million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 311 323 357 361 399 933 969 1071 1083 1197 2177 2261 2527 2799 2907 3249 5287 5909 6137 6531 6783 7581 15861 17727 18411 19593 20349 22743 37009 41363 42959 47583 53181 55233 100453 111027 112271 124089 128877 301359 333081 336813 372267 386631 703171 785897 904077 1010439 1908607 2109513 2357691 5725821 6328539 7073073 13360249 17177463 40080747 120242241