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11006361 = 34177993
BaseRepresentation
bin101001111111…
…000110011001
3202201011220000
4221333012121
510304200421
61031523213
7162360342
oct51770631
922634800
1011006361
116238273
123829509
132384952
1416670c9
15e76226
hexa7f199

11006361 has 20 divisors (see below), whose sum is σ = 17410932. Its totient is φ = 6905088.

The previous prime is 11006357. The next prime is 11006383. The reversal of 11006361 is 16360011.

It can be written as a sum of positive squares in 2 ways, for example, as 4473225 + 6533136 = 2115^2 + 2556^2 .

It is not a de Polignac number, because 11006361 - 22 = 11006357 is a prime.

It is a super-2 number, since 2×110063612 = 242279964924642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2620 + ... + 5373.

Almost surely, 211006361 is an apocalyptic number.

It is an amenable number.

11006361 is a deficient number, since it is larger than the sum of its proper divisors (6404571).

11006361 is an equidigital number, since it uses as much as digits as its factorization.

11006361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11006361 is about 3317.5836085923. The cubic root of 11006361 is about 222.4408696974.

Adding to 11006361 its reverse (16360011), we get a palindrome (27366372).

The spelling of 11006361 in words is "eleven million, six thousand, three hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 7993 23979 71937 135881 215811 407643 647433 1222929 3668787 11006361