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120313323 = 33131272699
BaseRepresentation
bin1110010101111…
…01010111101011
322101101112212000
413022331113223
5221300011243
615534422043
72660434464
oct712752753
9271345760
10120313323
1161a061a9
1234361923
131bc06720
1411d9bd6b
15a8685d3
hex72bd5eb

120313323 has 32 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 73428768.

The previous prime is 120313309. The next prime is 120313337. The reversal of 120313323 is 323313021.

It is an interprime number because it is at equal distance from previous prime (120313309) and next prime (120313337).

It is not a de Polignac number, because 120313323 - 218 = 120051179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120313296 and 120313305.

It is not an unprimeable number, because it can be changed into a prime (120313363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43228 + ... + 45926.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2120313323 is an apocalyptic number.

120313323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120313323 is a deficient number, since it is larger than the sum of its proper divisors (73222677).

120313323 is a wasteful number, since it uses less digits than its factorization.

120313323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 120313323 is about 10968.7429999978. The cubic root of 120313323 is about 493.6713312041.

Adding to 120313323 its reverse (323313021), we get a palindrome (443626344).

The spelling of 120313323 in words is "one hundred twenty million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 127 351 381 1143 1651 2699 3429 4953 8097 14859 24291 35087 44577 72873 105261 315783 342773 947349 1028319 3084957 4456049 9254871 13368147 40104441 120313323