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222100020001 is a prime number
BaseRepresentation
bin1100111011011000110…
…0010101101100100001
3210020021112101000121201
43032312030111230201
512114330101120001
6250010434121201
722021563010126
oct3166614255441
9706245330551
10222100020001
1186212742342
1237064a20201
1317c36ac0aa2
14aa6d25a74d
155b9d75d501
hex33b6315b21

222100020001 has 2 divisors, whose sum is σ = 222100020002. Its totient is φ = 222100020000.

The previous prime is 222100019959. The next prime is 222100020059. The reversal of 222100020001 is 100020001222.

222100020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136002376225 + 86097643776 = 368785^2 + 293424^2 .

It is a cyclic number.

It is not a de Polignac number, because 222100020001 - 215 = 222099987233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222100020001.

It is not a weakly prime, because it can be changed into another prime (222100020601) 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, 111050010000 + 111050010001.

It is an arithmetic number, because the mean of its divisors is an integer number (111050010001).

Almost surely, 2222100020001 is an apocalyptic number.

It is an amenable number.

222100020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222100020001 is an equidigital number, since it uses as much as digits as its factorization.

222100020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 222100020001 its reverse (100020001222), we get a palindrome (322120021223).

It can be divided in two parts, 222 and 100020001, that multiplied together give a palindrome (22204440222).

The spelling of 222100020001 in words is "two hundred twenty-two billion, one hundred million, twenty thousand, one".