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11272281241 = 13281672
BaseRepresentation
bin10100111111110000…
…10101110010011001
31002002120210012212211
422133320111302121
5141041200444431
65102312035121
7546223544464
oct123770256231
932076705784
1011272281241
1148649aa811
122227092aa1
1310a846b900
1478d10a2db
1545e9252b1
hex29fe15c99

11272281241 has 9 divisors (see below), whose sum is σ = 12207574431. Its totient is φ = 10403908632.

The previous prime is 11272281233. The next prime is 11272281253. The reversal of 11272281241 is 14218227211.

The square root of 11272281241 is 106171.

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

It can be written as a sum of positive squares in only one way, i.e., 1667497225 + 9604784016 = 40835^2 + 98004^2 .

It is not a de Polignac number, because 11272281241 - 23 = 11272281233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11272281281) 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 in 8 ways as a sum of consecutive naturals, for example, 1376140 + ... + 1384306.

It is an arithmetic number, because the mean of its divisors is an integer number (1356397159).

Almost surely, 211272281241 is an apocalyptic number.

11272281241 is the 106171-st square number.

11272281241 is the 53086-th centered octagonal number.

It is an amenable number.

11272281241 is a deficient number, since it is larger than the sum of its proper divisors (935293190).

11272281241 is an frugal number, since it uses more digits than its factorization.

11272281241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 8180 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The spelling of 11272281241 in words is "eleven billion, two hundred seventy-two million, two hundred eighty-one thousand, two hundred forty-one".

Divisors: 1 13 169 8167 106171 1380223 66699889 867098557 11272281241