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2003873161 is a prime number
BaseRepresentation
bin111011101110000…
…1010110110001001
312011122122022012111
41313130022312021
513100442420121
6530501542321
7100441432543
oct16734126611
95148568174
102003873161
11939152624
1247b1149a1
1325c202284
141501c6693
15badca2e1
hex7770ad89

2003873161 has 2 divisors, whose sum is σ = 2003873162. Its totient is φ = 2003873160.

The previous prime is 2003873159. The next prime is 2003873173. The reversal of 2003873161 is 1613783002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1633695561 + 370177600 = 40419^2 + 19240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003873161 - 21 = 2003873159 is a prime.

It is a super-2 number, since 2×20038731612 = 8031015290752263842, which contains 22 as substring.

Together with 2003873159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2003873191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001936580 + 1001936581.

It is an arithmetic number, because the mean of its divisors is an integer number (1001936581).

Almost surely, 22003873161 is an apocalyptic number.

It is an amenable number.

2003873161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003873161 is an equidigital number, since it uses as much as digits as its factorization.

2003873161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2003873161 is about 44764.6418616300. The cubic root of 2003873161 is about 1260.7338382893.

The spelling of 2003873161 in words is "two billion, three million, eight hundred seventy-three thousand, one hundred sixty-one".