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452100113 is a prime number
BaseRepresentation
bin11010111100101…
…000000000010001
31011111201001202122
4122330220000101
51411214200423
6112510024025
714126534063
oct3274500021
91144631678
10452100113
11212220563
121074a8015
137288387a
1444087733
1529a558c8
hex1af28011

452100113 has 2 divisors, whose sum is σ = 452100114. Its totient is φ = 452100112.

The previous prime is 452100109. The next prime is 452100133. The reversal of 452100113 is 311001254.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419758144 + 32341969 = 20488^2 + 5687^2 .

It is a cyclic number.

It is not a de Polignac number, because 452100113 - 22 = 452100109 is a prime.

It is a super-2 number, since 2×4521001132 = 408789024349225538, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 452100091 and 452100100.

It is not a weakly prime, because it can be changed into another prime (452100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 226050056 + 226050057.

It is an arithmetic number, because the mean of its divisors is an integer number (226050057).

Almost surely, 2452100113 is an apocalyptic number.

It is an amenable number.

452100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

452100113 is an equidigital number, since it uses as much as digits as its factorization.

452100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 452100113 is about 21262.6459548195. The cubic root of 452100113 is about 767.4996837454.

Adding to 452100113 its reverse (311001254), we get a palindrome (763101367).

The spelling of 452100113 in words is "four hundred fifty-two million, one hundred thousand, one hundred thirteen".