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4405123310221 is a prime number
BaseRepresentation
bin100000000011010010111…
…0011110110001010001101
3120121010101121200012022101
41000012211303312022031
51034133143031411341
613211404040315101
7633155030220454
oct100064563661215
916533347605271
104405123310221
1114492252a3847
125b18aaa72a91
1325c52a9ab18a
141132cdb01b9b
15798c2566831
hex401a5cf628d

4405123310221 has 2 divisors, whose sum is σ = 4405123310222. Its totient is φ = 4405123310220.

The previous prime is 4405123310191. The next prime is 4405123310239. The reversal of 4405123310221 is 1220133215044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4113940041225 + 291183268996 = 2028285^2 + 539614^2 .

It is a cyclic number.

It is not a de Polignac number, because 4405123310221 - 29 = 4405123309709 is a prime.

It is a super-2 number, since 2×44051233102212 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4405123310221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4405123310921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202561655110 + 2202561655111.

It is an arithmetic number, because the mean of its divisors is an integer number (2202561655111).

Almost surely, 24405123310221 is an apocalyptic number.

It is an amenable number.

4405123310221 is a deficient number, since it is larger than the sum of its proper divisors (1).

4405123310221 is an equidigital number, since it uses as much as digits as its factorization.

4405123310221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 4405123310221 its reverse (1220133215044), we get a palindrome (5625256525265).

The spelling of 4405123310221 in words is "four trillion, four hundred five billion, one hundred twenty-three million, three hundred ten thousand, two hundred twenty-one".