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2200210110001 is a prime number
BaseRepresentation
bin100000000001000110101…
…111011111011000110001
321210100010102111020012101
4200001012233133120301
5242022012242010001
64402432414300401
7314650154234461
oct40010657373061
97710112436171
102200210110001
1177911627a812
122b64b9ab7701
1312c62c26a497
14786c2825ba1
153c374b06a01
hex20046bdf631

2200210110001 has 2 divisors, whose sum is σ = 2200210110002. Its totient is φ = 2200210110000.

The previous prime is 2200210109939. The next prime is 2200210110157. The reversal of 2200210110001 is 1000110120022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2187296060401 + 12914049600 = 1478951^2 + 113640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200210110001 - 27 = 2200210109873 is a prime.

It is a super-2 number, since 2×22002101100012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2200210110001.

It is not a weakly prime, because it can be changed into another prime (2200210170001) 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, 1100105055000 + 1100105055001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100105055001).

Almost surely, 22200210110001 is an apocalyptic number.

It is an amenable number.

2200210110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200210110001 is an equidigital number, since it uses as much as digits as its factorization.

2200210110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200210110001 its reverse (1000110120022), we get a palindrome (3200320230023).

The spelling of 2200210110001 in words is "two trillion, two hundred billion, two hundred ten million, one hundred ten thousand, one".