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223002103231981 is a prime number
BaseRepresentation
bin110010101101000110111001…
…001001011011010111101101
31002020120210101222222002120001
4302231012321021123113231
5213212131301411410411
62110141430230424301
764654241001641263
oct6255067111332755
91066523358862501
10223002103231981
116506772a692407
1221017375202091
139758014a52778
143d0d506226433
151ababe311ddc1
hexcad1b925b5ed

223002103231981 has 2 divisors, whose sum is σ = 223002103231982. Its totient is φ = 223002103231980.

The previous prime is 223002103231979. The next prime is 223002103232003. The reversal of 223002103231981 is 189132301200322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206690480506756 + 16311622725225 = 14376734^2 + 4038765^2 .

It is a cyclic number.

It is not a de Polignac number, because 223002103231981 - 21 = 223002103231979 is a prime.

It is a super-3 number, since 3×2230021032319813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 223002103231979, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 223002103231981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223002103211981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111501051615990 + 111501051615991.

It is an arithmetic number, because the mean of its divisors is an integer number (111501051615991).

Almost surely, 2223002103231981 is an apocalyptic number.

It is an amenable number.

223002103231981 is a deficient number, since it is larger than the sum of its proper divisors (1).

223002103231981 is an equidigital number, since it uses as much as digits as its factorization.

223002103231981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 223002103231981 in words is "two hundred twenty-three trillion, two billion, one hundred three million, two hundred thirty-one thousand, nine hundred eighty-one".