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11271007225 = 5217212492
BaseRepresentation
bin10100111111100110…
…11110101111111001
31002002111101111021001
422133303132233321
5141040334212400
65102224445001
7546206660242
oct123763365771
932074344231
1011271007225
11486420a605
122226779761
1310a8113a5a
1478cc97cc9
1545e772a6a
hex29fcdebf9

11271007225 has 27 divisors (see below), whose sum is σ = 14858425767. Its totient is φ = 8479610880.

The previous prime is 11271007199. The next prime is 11271007277. The reversal of 11271007225 is 52270017211.

The square root of 11271007225 is 106165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4935484009 + 6335523216 = 70253^2 + 79596^2 .

It is not a de Polignac number, because 11271007225 - 221 = 11268910073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11271007193 and 11271007202.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9023401 + ... + 9024649.

Almost surely, 211271007225 is an apocalyptic number.

11271007225 is the 106165-th square number.

11271007225 is the 53083-rd centered octagonal number.

It is an amenable number.

11271007225 is a deficient number, since it is larger than the sum of its proper divisors (3587418542).

11271007225 is an frugal number, since it uses more digits than its factorization.

11271007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 11271007225 in words is "eleven billion, two hundred seventy-one million, seven thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1249 1445 6245 7225 21233 31225 106165 360961 530825 1560001 1804805 7800005 9024025 26520017 39000025 132600085 450840289 663000425 2254201445 11271007225