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11286300169 = 2323121492
BaseRepresentation
bin10101000001011011…
…10100011000001001
31002010120011110020101
422200231310120021
5141103243101134
65103532325401
7546453653134
oct124055643011
932116143211
1011286300169
114871905401
12222b913861
1310ab339831
14790d1921b
15460c93e14
hex2a0b74609

11286300169 has 27 divisors (see below), whose sum is σ = 12273582279. Its totient is φ = 10377230160.

The previous prime is 11286300167. The next prime is 11286300191. The reversal of 11286300169 is 96100368211.

The square root of 11286300169 is 106237.

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., 1322267769 + 9964032400 = 36363^2 + 99820^2 .

It is not a de Polignac number, because 11286300169 - 21 = 11286300167 is a prime.

It is a super-2 number, since 2×112863001692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11286300163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75746907 + ... + 75747055.

Almost surely, 211286300169 is an apocalyptic number.

11286300169 is the 106237-th square number.

11286300169 is the 53119-th centered octagonal number.

It is an amenable number.

11286300169 is a deficient number, since it is larger than the sum of its proper divisors (987282110).

11286300169 is an frugal number, since it uses more digits than its factorization.

11286300169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 11286300169 in words is "eleven billion, two hundred eighty-six million, three hundred thousand, one hundred sixty-nine".

Divisors: 1 23 31 149 529 713 961 3427 4619 16399 22103 22201 78821 106237 143189 508369 510623 688231 2443451 3293347 11744329 15829313 21335161 75746981 364074199 490708703 11286300169