Search a number
-
+
101838349 is a prime number
BaseRepresentation
bin1100001000111…
…10111000001101
321002121220221201
412010132320031
5202032311344
614034425501
72344416544
oct604367015
9232556851
10101838349
1152537728
122a132291
13181384a2
14d74d15b
158e194d4
hex611ee0d

101838349 has 2 divisors, whose sum is σ = 101838350. Its totient is φ = 101838348.

The previous prime is 101838323. The next prime is 101838391. The reversal of 101838349 is 943838101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79085449 + 22752900 = 8893^2 + 4770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101838349 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101838949) 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, 50919174 + 50919175.

It is an arithmetic number, because the mean of its divisors is an integer number (50919175).

Almost surely, 2101838349 is an apocalyptic number.

It is an amenable number.

101838349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101838349 is an equidigital number, since it uses as much as digits as its factorization.

101838349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 101838349 is about 10091.4988480404. The cubic root of 101838349 is about 466.9859166397.

The spelling of 101838349 in words is "one hundred one million, eight hundred thirty-eight thousand, three hundred forty-nine".