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2040618101 is a prime number
BaseRepresentation
bin111100110100001…
…0101110001110101
312021012210010210012
41321220111301311
513134344234401
6534253310005
7101365652624
oct17150256165
95235703705
102040618101
1195796a645
1248b495305
132669c9342
1415502d6bb
15be2378bb
hex79a15c75

2040618101 has 2 divisors, whose sum is σ = 2040618102. Its totient is φ = 2040618100.

The previous prime is 2040618067. The next prime is 2040618109. The reversal of 2040618101 is 1018160402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1669131025 + 371487076 = 40855^2 + 19274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2040618101 - 218 = 2040355957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2040618109) 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, 1020309050 + 1020309051.

It is an arithmetic number, because the mean of its divisors is an integer number (1020309051).

Almost surely, 22040618101 is an apocalyptic number.

It is an amenable number.

2040618101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2040618101 is an equidigital number, since it uses as much as digits as its factorization.

2040618101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 2040618101 is about 45173.2011374000. The cubic root of 2040618101 is about 1268.3932189842.

Adding to 2040618101 its reverse (1018160402), we get a palindrome (3058778503).

The spelling of 2040618101 in words is "two billion, forty million, six hundred eighteen thousand, one hundred one".