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120192813 = 32131027289
BaseRepresentation
bin1110010100111…
…11111100101101
322101011102112200
413022133330231
5221232132223
615532052113
72656423236
oct712377455
9271142480
10120192813
1161933704
1234304039
131bb93910
1411d6a08d
15a842a43
hex729ff2d

120192813 has 12 divisors (see below), whose sum is σ = 186966780. Its totient is φ = 73964736.

The previous prime is 120192811. The next prime is 120192827. The reversal of 120192813 is 318291021.

It can be written as a sum of positive squares in 2 ways, for example, as 5745609 + 114447204 = 2397^2 + 10698^2 .

It is not a de Polignac number, because 120192813 - 21 = 120192811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120192811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513528 + ... + 513761.

It is an arithmetic number, because the mean of its divisors is an integer number (15580565).

Almost surely, 2120192813 is an apocalyptic number.

120192813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120192813 is a deficient number, since it is larger than the sum of its proper divisors (66773967).

120192813 is a wasteful number, since it uses less digits than its factorization.

120192813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027308 (or 1027305 counting only the distinct ones).

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

The square root of 120192813 is about 10963.2482868902. The cubic root of 120192813 is about 493.5064500286.

The spelling of 120192813 in words is "one hundred twenty million, one hundred ninety-two thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 117 1027289 3081867 9245601 13354757 40064271 120192813