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2252213101 is a prime number
BaseRepresentation
bin1000011000111110…
…0000101101101101
312210221221021120001
42012033200231231
514103031304401
61011252424301
7106545331645
oct20617405555
95727837501
102252213101
11a56352046
1252a318091
1329b7b3198
1417518d525
15d2ad2601
hex863e0b6d

2252213101 has 2 divisors, whose sum is σ = 2252213102. Its totient is φ = 2252213100.

The previous prime is 2252213087. The next prime is 2252213149. The reversal of 2252213101 is 1013122522.

2252213101 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., 1570219876 + 681993225 = 39626^2 + 26115^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252213101 - 221 = 2250115949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252213191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126106550 + 1126106551.

It is an arithmetic number, because the mean of its divisors is an integer number (1126106551).

Almost surely, 22252213101 is an apocalyptic number.

It is an amenable number.

2252213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252213101 is an equidigital number, since it uses as much as digits as its factorization.

2252213101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2252213101 is about 47457.4873017946. The cubic root of 2252213101 is about 1310.8001833876.

Adding to 2252213101 its reverse (1013122522), we get a palindrome (3265335623).

The spelling of 2252213101 in words is "two billion, two hundred fifty-two million, two hundred thirteen thousand, one hundred one".