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223044100381 is a prime number
BaseRepresentation
bin1100111110111001110…
…1101110000100011101
3210022201022211021102201
43033232131232010131
512123243242203011
6250244241051501
722054145400064
oct3175635560435
9708638737381
10223044100381
1186657641963
1237289026b91
131805757c32b
14ab1c7ad1db
155c06595cc1
hex33ee76e11d

223044100381 has 2 divisors, whose sum is σ = 223044100382. Its totient is φ = 223044100380.

The previous prime is 223044100337. The next prime is 223044100453. The reversal of 223044100381 is 183001440322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221708197881 + 1335902500 = 470859^2 + 36550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223044100381 is a prime.

It is a super-2 number, since 2×2230441003812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223044101381) 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, 111522050190 + 111522050191.

It is an arithmetic number, because the mean of its divisors is an integer number (111522050191).

Almost surely, 2223044100381 is an apocalyptic number.

It is an amenable number.

223044100381 is a deficient number, since it is larger than the sum of its proper divisors (1).

223044100381 is an equidigital number, since it uses as much as digits as its factorization.

223044100381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 223044100381 in words is "two hundred twenty-three billion, forty-four million, one hundred thousand, three hundred eighty-one".