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22100011001 is a prime number
BaseRepresentation
bin10100100101010000…
…110110011111111001
32010001012001212202222
4110211100312133321
5330230100323001
614052543533425
71411441664645
oct244520663771
963035055688
1022100011001
119410975402
1243492ba275
13211279a7b3
1410d9175c25
158952d661b
hex5254367f9

22100011001 has 2 divisors, whose sum is σ = 22100011002. Its totient is φ = 22100011000.

The previous prime is 22100010973. The next prime is 22100011049. The reversal of 22100011001 is 10011000122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22010689600 + 89321401 = 148360^2 + 9451^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100011001 - 214 = 22099994617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22100011001.

It is not a weakly prime, because it can be changed into another prime (22100011061) 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, 11050005500 + 11050005501.

It is an arithmetic number, because the mean of its divisors is an integer number (11050005501).

Almost surely, 222100011001 is an apocalyptic number.

It is an amenable number.

22100011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100011001 is an equidigital number, since it uses as much as digits as its factorization.

22100011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22100011001 its reverse (10011000122), we get a palindrome (32111011123).

The spelling of 22100011001 in words is "twenty-two billion, one hundred million, eleven thousand, one".