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101377 is a prime number
BaseRepresentation
bin11000110000000001
312011001201
4120300001
511221002
62101201
7601363
oct306001
9164051
10101377
116a191
124a801
13371b3
1428d33
1520087
hex18c01

101377 has 2 divisors, whose sum is σ = 101378. Its totient is φ = 101376.

The previous prime is 101363. The next prime is 101383. The reversal of 101377 is 773101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 1521 = 316^2 + 39^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101377 is a prime.

It is a super-2 number, since 2×1013772 = 20554592258, which contains 22 as substring.

It is an Ulam number.

101377 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (101347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50688 + 50689.

It is an arithmetic number, because the mean of its divisors is an integer number (50689).

It is a Proth number, since it is equal to 99 ⋅ 210 + 1 and 99 < 210.

2101377 is an apocalyptic number.

It is an amenable number.

101377 is a deficient number, since it is larger than the sum of its proper divisors (1).

101377 is an equidigital number, since it uses as much as digits as its factorization.

101377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 101377 is about 318.3975502418. The cubic root of 101377 is about 46.6279667819.

Adding to 101377 its reverse (773101), we get a palindrome (874478).

The spelling of 101377 in words is "one hundred one thousand, three hundred seventy-seven", and thus it is an iban number.