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223220013900001 is a prime number
BaseRepresentation
bin110010110000010001110101…
…101000101010000011100001
31002021100121212120022222122021
4302300101311220222003201
5213224214042024300001
62110425505252341441
765006054015026306
oct6260216550520341
91067317776288567
10223220013900001
1165141092570588
122105164b014881
139772731925351
143d19c98d1d0ad
151ac16e8ba2ba1
hexcb0475a2a0e1

223220013900001 has 2 divisors, whose sum is σ = 223220013900002. Its totient is φ = 223220013900000.

The previous prime is 223220013899983. The next prime is 223220013900017. The reversal of 223220013900001 is 100009310022322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205026172000225 + 18193841899776 = 14318735^2 + 4265424^2 .

It is a cyclic number.

It is not a de Polignac number, because 223220013900001 - 221 = 223220011802849 is a prime.

It is a super-3 number, since 3×2232200139000013 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223220013900101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610006950000 + 111610006950001.

It is an arithmetic number, because the mean of its divisors is an integer number (111610006950001).

Almost surely, 2223220013900001 is an apocalyptic number.

It is an amenable number.

223220013900001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223220013900001 is an equidigital number, since it uses as much as digits as its factorization.

223220013900001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 223220013900001 its reverse (100009310022322), we get a palindrome (323229323922323).

The spelling of 223220013900001 in words is "two hundred twenty-three trillion, two hundred twenty billion, thirteen million, nine hundred thousand, one".