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1106826361 = 1721921032
BaseRepresentation
bin100000111111000…
…1101010001111001
32212010200121022221
41001332031101321
54231321420421
6301455044041
736266604004
oct10176152171
92763617287
101106826361
11518858033
1226a810621
13148400b54
14a6dd853b
1567283841
hex41f8d479

1106826361 has 27 divisors (see below), whose sum is σ = 1253067471. Its totient is φ = 977310144.

The previous prime is 1106826341. The next prime is 1106826367. The reversal of 1106826361 is 1636286011.

It is a happy number.

The square root of 1106826361 is 33269.

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., 861716025 + 245110336 = 29355^2 + 15656^2 .

It is not a de Polignac number, because 1106826361 - 27 = 1106826233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106826367) 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, 10745836 + ... + 10745938.

Almost surely, 21106826361 is an apocalyptic number.

1106826361 is the 33269-th square number.

1106826361 is the 16635-th centered octagonal number.

It is an amenable number.

1106826361 is a deficient number, since it is larger than the sum of its proper divisors (146241110).

1106826361 is an equidigital number, since it uses as much as digits as its factorization.

1106826361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 1106826361 is about 1034.4110821147.

The spelling of 1106826361 in words is "one billion, one hundred six million, eight hundred twenty-six thousand, three hundred sixty-one".

Divisors: 1 17 19 103 289 323 361 1751 1957 5491 6137 10609 29767 33269 37183 104329 180353 201571 565573 632111 3066001 3426707 3829849 10745887 58254019 65107433 1106826361