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4314000101 is a prime number
BaseRepresentation
bin1000000010010001…
…00110101011100101
3102010122112220121112
410001020212223211
532313341000401
61552023554405
7211622252525
oct40110465345
912118486545
104314000101
111914160144
12a048bba05
135399b19a8
142ccd2d685
151a3aec3bb
hex101226ae5

4314000101 has 2 divisors, whose sum is σ = 4314000102. Its totient is φ = 4314000100.

The previous prime is 4314000073. The next prime is 4314000107. The reversal of 4314000101 is 1010004134.

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., 3899877601 + 414122500 = 62449^2 + 20350^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314000101 - 226 = 4246891237 is a prime.

It is a super-2 number, since 2×43140001012 = 37221193742856020402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4314000107) 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, 2157000050 + 2157000051.

It is an arithmetic number, because the mean of its divisors is an integer number (2157000051).

Almost surely, 24314000101 is an apocalyptic number.

It is an amenable number.

4314000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314000101 is an equidigital number, since it uses as much as digits as its factorization.

4314000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4314000101 is about 65681.0482635593. The cubic root of 4314000101 is about 1627.8962284217.

Adding to 4314000101 its reverse (1010004134), we get a palindrome (5324004235).

The spelling of 4314000101 in words is "four billion, three hundred fourteen million, one hundred one", and thus it is an aban number.