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120461301 = 3266120249
BaseRepresentation
bin1110010111000…
…01011111110101
322101200001211200
413023201133311
5221314230201
615541523113
72661622062
oct713413765
9271601750
10120461301
1161aa73a4
1234413499
131bc58b9c
1411dd9c69
15a897386
hex72e17f5

120461301 has 12 divisors (see below), whose sum is σ = 174271500. Its totient is φ = 80182080.

The previous prime is 120461287. The next prime is 120461309. The reversal of 120461301 is 103164021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66438801 + 54022500 = 8151^2 + 7350^2 .

It is not a de Polignac number, because 120461301 - 215 = 120428533 is a prime.

It is a super-2 number, since 2×1204613012 = 29021850077225202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120461309) 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 11 ways as a sum of consecutive naturals, for example, 4176 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (14522625).

Almost surely, 2120461301 is an apocalyptic number.

It is an amenable number.

120461301 is a deficient number, since it is larger than the sum of its proper divisors (53810199).

120461301 is a wasteful number, since it uses less digits than its factorization.

120461301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20916 (or 20913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120461301 is about 10975.4863673552. The cubic root of 120461301 is about 493.8736434248.

The spelling of 120461301 in words is "one hundred twenty million, four hundred sixty-one thousand, three hundred one".

Divisors: 1 3 9 661 1983 5949 20249 60747 182241 13384589 40153767 120461301