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2042034017 is a prime number
BaseRepresentation
bin111100110110110…
…1111011101100001
312021022110002001112
41321231233131201
513140230042032
6534343513105
7101414000642
oct17155573541
95238402045
102042034017
11958747421
1248ba58795
132670a396a
141552bb6c9
15be4171b2
hex79b6f761

2042034017 has 2 divisors, whose sum is σ = 2042034018. Its totient is φ = 2042034016.

The previous prime is 2042034011. The next prime is 2042034023. The reversal of 2042034017 is 7104302402.

It is a balanced prime because it is at equal distance from previous prime (2042034011) and next prime (2042034023).

It can be written as a sum of positive squares in only one way, i.e., 1197782881 + 844251136 = 34609^2 + 29056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2042034017 is a prime.

It is a super-4 number, since 4×20420340174 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042033983 and 2042034001.

It is not a weakly prime, because it can be changed into another prime (2042034011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021017008 + 1021017009.

It is an arithmetic number, because the mean of its divisors is an integer number (1021017009).

Almost surely, 22042034017 is an apocalyptic number.

It is an amenable number.

2042034017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042034017 is an equidigital number, since it uses as much as digits as its factorization.

2042034017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2042034017 is about 45188.8704992723. The cubic root of 2042034017 is about 1268.6865162344.

Adding to 2042034017 its reverse (7104302402), we get a palindrome (9146336419).

The spelling of 2042034017 in words is "two billion, forty-two million, thirty-four thousand, seventeen".