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20103137 is a prime number
BaseRepresentation
bin100110010101…
…1111111100001
31101211100022122
41030223333201
520121300022
61554514025
7332605505
oct114537741
941740278
1020103137
111039086a
126895915
13421b362
142954305
151b71742
hex132bfe1

20103137 has 2 divisors, whose sum is σ = 20103138. Its totient is φ = 20103136.

The previous prime is 20103113. The next prime is 20103143. The reversal of 20103137 is 73130102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13957696 + 6145441 = 3736^2 + 2479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20103137 is a prime.

It is a super-2 number, since 2×201031372 = 808272234481538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20103107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051568 + 10051569.

It is an arithmetic number, because the mean of its divisors is an integer number (10051569).

Almost surely, 220103137 is an apocalyptic number.

It is an amenable number.

20103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20103137 is an equidigital number, since it uses as much as digits as its factorization.

20103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 20103137 is about 4483.6521943612. The cubic root of 20103137 is about 271.9075567125.

Adding to 20103137 its reverse (73130102), we get a palindrome (93233239).

The spelling of 20103137 in words is "twenty million, one hundred three thousand, one hundred thirty-seven".