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2103033137 is a prime number
BaseRepresentation
bin111110101011001…
…1011110100110001
312102120020011010012
41331112123310301
513301334030022
6544403144305
7103054325642
oct17526336461
95376204105
102103033137
1198a11aa17
124a8375095
1327691060a
1415d4396c9
15c4965de2
hex7d59bd31

2103033137 has 2 divisors, whose sum is σ = 2103033138. Its totient is φ = 2103033136.

The previous prime is 2103033113. The next prime is 2103033139. The reversal of 2103033137 is 7313303012.

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., 1737305761 + 365727376 = 41681^2 + 19124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2103033137 - 26 = 2103033073 is a prime.

Together with 2103033139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2103033139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051516568 + 1051516569.

It is an arithmetic number, because the mean of its divisors is an integer number (1051516569).

Almost surely, 22103033137 is an apocalyptic number.

It is an amenable number.

2103033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2103033137 is an equidigital number, since it uses as much as digits as its factorization.

2103033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 2103033137 is about 45858.8392461039. The cubic root of 2103033137 is about 1281.1954036399.

Adding to 2103033137 its reverse (7313303012), we get a palindrome (9416336149).

The spelling of 2103033137 in words is "two billion, one hundred three million, thirty-three thousand, one hundred thirty-seven".