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120153793 is a prime number
BaseRepresentation
bin1110010100101…
…10011011000001
322101002110000111
413022112123001
5221224410133
615531151321
72656201414
oct712263301
9271073014
10120153793
1161907361
12342a5541
131bb7bc26
1411d59b7b
15a8361cd
hex72966c1

120153793 has 2 divisors, whose sum is σ = 120153794. Its totient is φ = 120153792.

The previous prime is 120153791. The next prime is 120153833. The reversal of 120153793 is 397351021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119617969 + 535824 = 10937^2 + 732^2 .

It is a cyclic number.

It is not a de Polignac number, because 120153793 - 21 = 120153791 is a prime.

Together with 120153791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (120153791) 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 as a sum of consecutive naturals, namely, 60076896 + 60076897.

It is an arithmetic number, because the mean of its divisors is an integer number (60076897).

Almost surely, 2120153793 is an apocalyptic number.

It is an amenable number.

120153793 is a deficient number, since it is larger than the sum of its proper divisors (1).

120153793 is an equidigital number, since it uses as much as digits as its factorization.

120153793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 120153793 is about 10961.4685603709. The cubic root of 120153793 is about 493.4530394420.

The spelling of 120153793 in words is "one hundred twenty million, one hundred fifty-three thousand, seven hundred ninety-three".