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1100000106 = 23273698293
BaseRepresentation
bin100000110010000…
…1010101101101010
32211122211210110200
41001210022231222
54223100000411
6301052453030
736154563252
oct10144125552
92748753420
101100000106
11514a153a7
1226847a176
13146b80a4a
14a613c962
1566885e56
hex4190ab6a

1100000106 has 24 divisors (see below), whose sum is σ = 2383944420. Its totient is φ = 366572736.

The previous prime is 1100000081. The next prime is 1100000123. The reversal of 1100000106 is 6010000011.

It can be written as a sum of positive squares in 2 ways, for example, as 1088406081 + 11594025 = 32991^2 + 3405^2 .

It is a super-2 number, since 2×11000001062 = 2420000466400022472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128496 + ... + 136788.

Almost surely, 21100000106 is an apocalyptic number.

1100000106 is an abundant number, since it is smaller than the sum of its proper divisors (1283944314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100000106 is a wasteful number, since it uses less digits than its factorization.

1100000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100000106 is about 33166.2495015641. The cubic root of 1100000106 is about 1032.2801486145.

Adding to 1100000106 its reverse (6010000011), we get a palindrome (7110000117).

The spelling of 1100000106 in words is "one billion, one hundred million, one hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 7369 8293 14738 16586 22107 24879 44214 49758 66321 74637 132642 149274 61111117 122222234 183333351 366666702 550000053 1100000106