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382120933 is a prime number
BaseRepresentation
bin10110110001101…
…011001111100101
3222122000202101011
4112301223033211
51240310332213
6101530102221
712316655125
oct2661531745
9878022334
10382120933
11186774127
12a7b7a971
136122167c
1438a6cc85
152383103d
hex16c6b3e5

382120933 has 2 divisors, whose sum is σ = 382120934. Its totient is φ = 382120932.

The previous prime is 382120901. The next prime is 382120939. The reversal of 382120933 is 339021283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379743169 + 2377764 = 19487^2 + 1542^2 .

It is a cyclic number.

It is not a de Polignac number, because 382120933 - 25 = 382120901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 382120895 and 382120904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382120939) 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 as a sum of consecutive naturals, namely, 191060466 + 191060467.

It is an arithmetic number, because the mean of its divisors is an integer number (191060467).

Almost surely, 2382120933 is an apocalyptic number.

It is an amenable number.

382120933 is a deficient number, since it is larger than the sum of its proper divisors (1).

382120933 is an equidigital number, since it uses as much as digits as its factorization.

382120933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 382120933 is about 19547.9137761552. The cubic root of 382120933 is about 725.6607107348.

The spelling of 382120933 in words is "three hundred eighty-two million, one hundred twenty thousand, nine hundred thirty-three".