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2240000101 is a prime number
BaseRepresentation
bin1000010110000011…
…1011000001100101
312210002221210110201
42011200323001211
514041420000401
61010134550501
7106336454353
oct20540730145
95702853421
102240000101
11a4a470259
12526208431
132990c8261
141736d07d3
15d19bdb01
hex8583b065

2240000101 has 2 divisors, whose sum is σ = 2240000102. Its totient is φ = 2240000100.

The previous prime is 2240000089. The next prime is 2240000129. The reversal of 2240000101 is 1010000422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2148415201 + 91584900 = 46351^2 + 9570^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240000101 - 25 = 2240000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2240000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120000050 + 1120000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000051).

Almost surely, 22240000101 is an apocalyptic number.

It is an amenable number.

2240000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240000101 is an equidigital number, since it uses as much as digits as its factorization.

2240000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2240000101 is about 47328.6393318042. The cubic root of 2240000101 is about 1308.4265437408.

Adding to 2240000101 its reverse (1010000422), we get a palindrome (3250000523).

The spelling of 2240000101 in words is "two billion, two hundred forty million, one hundred one", and thus it is an aban number.