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226705051121 is a prime number
BaseRepresentation
bin1101001100100010101…
…1001000110111110001
3210200011110112211201212
43103020223020313301
512203242443113441
6252051420005505
722243651065623
oct3231053106761
9720143484655
10226705051121
118816610038a
1237b2b090895
13184bbb80083
14ad88aa6c13
155d6cb96eeb
hex34c8ac8df1

226705051121 has 2 divisors, whose sum is σ = 226705051122. Its totient is φ = 226705051120.

The previous prime is 226705051043. The next prime is 226705051127. The reversal of 226705051121 is 121150507622.

226705051121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220298809600 + 6406241521 = 469360^2 + 80039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226705051121 is a prime.

It is not a weakly prime, because it can be changed into another prime (226705051127) 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, 113352525560 + 113352525561.

It is an arithmetic number, because the mean of its divisors is an integer number (113352525561).

Almost surely, 2226705051121 is an apocalyptic number.

It is an amenable number.

226705051121 is a deficient number, since it is larger than the sum of its proper divisors (1).

226705051121 is an equidigital number, since it uses as much as digits as its factorization.

226705051121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

Adding to 226705051121 its reverse (121150507622), we get a palindrome (347855558743).

The spelling of 226705051121 in words is "two hundred twenty-six billion, seven hundred five million, fifty-one thousand, one hundred twenty-one".