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224121820031 is a prime number
BaseRepresentation
bin1101000010111010110…
…0111001001101111111
3210102111102202002212022
43100232230321031333
512133000141220111
6250543220230355
722122643015634
oct3205654711577
9712442662768
10224121820031
118705aa1965a
1237529b3b3bb
131819992b975
14abc198c18b
155c6aeca2db
hex342eb3937f

224121820031 has 2 divisors, whose sum is σ = 224121820032. Its totient is φ = 224121820030.

The previous prime is 224121819991. The next prime is 224121820051. The reversal of 224121820031 is 130028121422.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 224121820031 - 222 = 224117625727 is a prime.

It is a super-2 number, since 2×2241218200312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224121820051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112060910015 + 112060910016.

It is an arithmetic number, because the mean of its divisors is an integer number (112060910016).

Almost surely, 2224121820031 is an apocalyptic number.

224121820031 is a deficient number, since it is larger than the sum of its proper divisors (1).

224121820031 is an equidigital number, since it uses as much as digits as its factorization.

224121820031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 224121820031 its reverse (130028121422), we get a palindrome (354149941453).

The spelling of 224121820031 in words is "two hundred twenty-four billion, one hundred twenty-one million, eight hundred twenty thousand, thirty-one".