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11271219556 = 2210924872
BaseRepresentation
bin10100111111101000…
…10010100101100100
31002002111210021112011
422133310102211210
5141040413011211
65102233204004
7546211533262
oct123764224544
932074707464
1011271219556
114864345093
122226860604
1310a81895ac
1478cd11432
1545e7b5921
hex29fd12964

11271219556 has 27 divisors (see below), whose sum is σ = 19948215609. Its totient is φ = 5572441008.

The previous prime is 11271219523. The next prime is 11271219559. The reversal of 11271219556 is 65591217211.

The square root of 11271219556 is 106166.

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

11271219556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7855985956 + 3415233600 = 88634^2 + 58440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11271219559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23143945 + ... + 23144431.

Almost surely, 211271219556 is an apocalyptic number.

11271219556 is the 106166-th square number.

It is an amenable number.

11271219556 is a deficient number, since it is larger than the sum of its proper divisors (8676996053).

11271219556 is an frugal number, since it uses more digits than its factorization.

11271219556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its digits is 37800, while the sum is 40.

The spelling of 11271219556 in words is "eleven billion, two hundred seventy-one million, two hundred nineteen thousand, five hundred fifty-six".

Divisors: 1 2 4 109 218 436 487 974 1948 11881 23762 47524 53083 106166 212332 237169 474338 948676 5786047 11572094 23144188 25851421 51702842 103405684 2817804889 5635609778 11271219556