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1100000016 = 24327638889
BaseRepresentation
bin100000110010000…
…1010101100010000
32211122211210100100
41001210022230100
54223100000031
6301052452400
736154563063
oct10144125420
92748753310
101100000016
11514a15325
1226847a100
13146b809ab
14a613c8da
1566885de6
hex4190ab10

1100000016 has 30 divisors (see below), whose sum is σ = 3078472670. Its totient is φ = 366666624.

The previous prime is 1100000009. The next prime is 1100000017. The reversal of 1100000016 is 6100000011.

It can be written as a sum of positive squares in only one way, i.e., 979439616 + 120560400 = 31296^2 + 10980^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1099999953 and 1100000007.

It is not an unprimeable number, because it can be changed into a prime (1100000017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3819301 + ... + 3819588.

Almost surely, 21100000016 is an apocalyptic number.

1100000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1100000016 is an abundant number, since it is smaller than the sum of its proper divisors (1978472654).

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

1100000016 is a wasteful number, since it uses less digits than its factorization.

1100000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638903 (or 7638894 counting only the distinct ones).

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

The square root of 1100000016 is about 33166.2481447631. The cubic root of 1100000016 is about 1032.2801204614.

Adding to 1100000016 its reverse (6100000011), we get a palindrome (7200000027).

The spelling of 1100000016 in words is "one billion, one hundred million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7638889 15277778 22916667 30555556 45833334 61111112 68750001 91666668 122222224 137500002 183333336 275000004 366666672 550000008 1100000016