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420101113 is a prime number
BaseRepresentation
bin11001000010100…
…011101111111001
31002021111100101111
4121002203233321
51330021213423
6105404120321
713260541405
oct3102435771
91067440344
10420101113
111a6155203
12b88360a1
136905ba53
143db18105
1526d3460d
hex190a3bf9

420101113 has 2 divisors, whose sum is σ = 420101114. Its totient is φ = 420101112.

The previous prime is 420101111. The next prime is 420101131. The reversal of 420101113 is 311101024.

Together with next prime (420101131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320839744 + 99261369 = 17912^2 + 9963^2 .

It is a cyclic number.

It is not a de Polignac number, because 420101113 - 21 = 420101111 is a prime.

Together with 420101111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 420101093 and 420101102.

It is not a weakly prime, because it can be changed into another prime (420101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210050556 + 210050557.

It is an arithmetic number, because the mean of its divisors is an integer number (210050557).

Almost surely, 2420101113 is an apocalyptic number.

It is an amenable number.

420101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

420101113 is an equidigital number, since it uses as much as digits as its factorization.

420101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 420101113 is about 20496.3682880651. The cubic root of 420101113 is about 748.9473309120.

Adding to 420101113 its reverse (311101024), we get a palindrome (731202137).

It can be divided in two parts, 4201011 and 13, that added together give a palindrome (4201024).

The spelling of 420101113 in words is "four hundred twenty million, one hundred one thousand, one hundred thirteen".