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2414264101 is a prime number
BaseRepresentation
bin1000111111100110…
…1011111100100101
320020020212022201221
42033321223330211
514421022422401
61035322020341
7113553622564
oct21771537445
96206768657
102414264101
111029875397
125746476b1
132c6241352
1418c8d3bdb
15e1e427a1
hex8fe6bf25

2414264101 has 2 divisors, whose sum is σ = 2414264102. Its totient is φ = 2414264100.

The previous prime is 2414264063. The next prime is 2414264113. The reversal of 2414264101 is 1014624142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2414248225 + 15876 = 49135^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414264101 - 219 = 2413739813 is a prime.

It is a super-2 number, since 2×24142641012 = 11657342298754676402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2414264141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207132050 + 1207132051.

It is an arithmetic number, because the mean of its divisors is an integer number (1207132051).

Almost surely, 22414264101 is an apocalyptic number.

It is an amenable number.

2414264101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414264101 is an equidigital number, since it uses as much as digits as its factorization.

2414264101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2414264101 is about 49135.1615546342. The cubic root of 2414264101 is about 1341.5131234822.

Adding to 2414264101 its reverse (1014624142), we get a palindrome (3428888243).

The spelling of 2414264101 in words is "two billion, four hundred fourteen million, two hundred sixty-four thousand, one hundred one".