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382937101 is a prime number
BaseRepresentation
bin10110110100110…
…010100000001101
3222200120012221121
4112310302200031
51241012441401
6101555400541
712326624461
oct2664624015
9880505847
10382937101
11187181348
12a82b3151
1361449001
1438c024a1
1523942ca1
hex16d3280d

382937101 has 2 divisors, whose sum is σ = 382937102. Its totient is φ = 382937100.

The previous prime is 382937063. The next prime is 382937117. The reversal of 382937101 is 101739283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308529225 + 74407876 = 17565^2 + 8626^2 .

It is an emirp because it is prime and its reverse (101739283) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382937101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382937201) 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, 191468550 + 191468551.

It is an arithmetic number, because the mean of its divisors is an integer number (191468551).

Almost surely, 2382937101 is an apocalyptic number.

It is an amenable number.

382937101 is a deficient number, since it is larger than the sum of its proper divisors (1).

382937101 is an equidigital number, since it uses as much as digits as its factorization.

382937101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 382937101 is about 19568.7787304165. The cubic root of 382937101 is about 726.1769869810.

The spelling of 382937101 in words is "three hundred eighty-two million, nine hundred thirty-seven thousand, one hundred one".