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226381742141 is a prime number
BaseRepresentation
bin1101001011010101100…
…1110100000000111101
3210122022221012001012012
43102311121310000331
512202112211222031
6251555350221005
722232644026062
oct3226531640075
9718287161165
10226381742141
118800a656585
1237a5a954765
1318469bb0999
14ad57b86c69
155d4e5d1b2b
hex34b567403d

226381742141 has 2 divisors, whose sum is σ = 226381742142. Its totient is φ = 226381742140.

The previous prime is 226381742077. The next prime is 226381742201. The reversal of 226381742141 is 141247183622.

226381742141 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., 201986426041 + 24395316100 = 449429^2 + 156190^2 .

It is a cyclic number.

It is not a de Polignac number, because 226381742141 - 26 = 226381742077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226381742341) 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, 113190871070 + 113190871071.

It is an arithmetic number, because the mean of its divisors is an integer number (113190871071).

Almost surely, 2226381742141 is an apocalyptic number.

It is an amenable number.

226381742141 is a deficient number, since it is larger than the sum of its proper divisors (1).

226381742141 is an equidigital number, since it uses as much as digits as its factorization.

226381742141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 41.

The spelling of 226381742141 in words is "two hundred twenty-six billion, three hundred eighty-one million, seven hundred forty-two thousand, one hundred forty-one".