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1100006145 = 3257410181
BaseRepresentation
bin100000110010000…
…1100001100000001
32211122212002202100
41001210030030001
54223100144040
6301052541013
736154620000
oct10144141401
92748762670
101100006145
11514a19997
12268481769
13146b83714
14a6140c37
1566887b30
hex4190c301

1100006145 has 60 divisors (see below), whose sum is σ = 2224542996. Its totient is φ = 502810560.

The previous prime is 1100006143. The next prime is 1100006183. The reversal of 1100006145 is 5416000011.

It can be written as a sum of positive squares in 2 ways, for example, as 525876624 + 574129521 = 22932^2 + 23961^2 .

It is not a de Polignac number, because 1100006145 - 21 = 1100006143 is a prime.

It is a super-2 number, since 2×11000061452 = 2420027038075522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100006143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102955 + ... + 113135.

Almost surely, 21100006145 is an apocalyptic number.

1100006145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100006145 is an abundant number, since it is smaller than the sum of its proper divisors (1124536851).

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

1100006145 is an equidigital number, since it uses as much as digits as its factorization.

1100006145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1100006145 is about 33166.3405427852. The cubic root of 1100006145 is about 1032.2820376835.

Adding to 1100006145 its reverse (5416000011), we get a palindrome (6516006156).

The spelling of 1100006145 in words is "one billion, one hundred million, six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 2401 3087 5145 7203 10181 12005 15435 21609 30543 36015 50905 71267 91629 108045 152715 213801 356335 458145 498869 641403 1069005 1496607 2494345 3207015 3492083 4489821 7483035 10476249 17460415 22449105 24444581 31428747 52381245 73333743 122222905 157143735 220001229 366668715 1100006145