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11096304921 = 32132372732
BaseRepresentation
bin10100101010110010…
…00010110100011001
31001122022122200202100
422111121002310121
5140211123224141
65033024154013
7541656015132
oct122531026431
931568580670
1011096304921
114784636139
122198168909
13107ab76300
147739bcc89
1544e2640b6
hex295642d19

11096304921 has 81 divisors (see below), whose sum is σ = 18085207959. Its totient is φ = 6552928512.

The previous prime is 11096304911. The next prime is 11096304941. The reversal of 11096304921 is 12940369011.

It is a happy number.

The square root of 11096304921 is 105339.

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

11096304921 is a `hidden beast` number, since 1 + 10 + 9 + 630 + 4 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4096640025 + 6999664896 = 64005^2 + 83664^2 .

It is not a de Polignac number, because 11096304921 - 223 = 11087916313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11096304911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 152004141 + ... + 152004213.

Almost surely, 211096304921 is an apocalyptic number.

11096304921 is the 105339-th square number.

11096304921 is the 52670-th centered octagonal number.

It is an amenable number.

11096304921 is a deficient number, since it is larger than the sum of its proper divisors (6988903038).

11096304921 is an equidigital number, since it uses as much as digits as its factorization.

11096304921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 11096304921 by its sum of digits (36), we get a square (399466977156 = 6320342).

Multiplying 11096304921 by its product of nonzero digits (11664), we get a square (129427300598544 = 113766122).

The spelling of 11096304921 in words is "eleven billion, ninety-six million, three hundred four thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 37 39 73 111 117 169 219 333 481 507 657 949 1369 1443 1521 2701 2847 4107 4329 5329 6253 8103 8541 12321 12337 15987 17797 18759 24309 35113 37011 47961 53391 56277 69277 99937 105339 111033 160173 197173 207831 231361 299811 316017 456469 591519 623493 694083 899433 900601 1299181 1369407 1774557 2082249 2563249 2701803 3897543 4108221 7295401 7689747 8105409 11692629 16889353 21886203 23069241 33322237 50668059 65658609 94840213 99966711 152004177 284520639 299900133 853561917 1232922769 3698768307 11096304921