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1100034441 = 321183133873
BaseRepresentation
bin100000110010001…
…0011000110001001
32211122220112120100
41001210103012021
54223102100231
6301053320013
736155065332
oct10144230611
92748815510
101100034441
11514a39180
12268496009
13146b9356c
14a614b289
15668911e6
hex41913189

1100034441 has 24 divisors (see below), whose sum is σ = 1754284896. Its totient is φ = 658650240.

The previous prime is 1100034433. The next prime is 1100034449. The reversal of 1100034441 is 1444300011.

It is an interprime number because it is at equal distance from previous prime (1100034433) and next prime (1100034449).

It is not a de Polignac number, because 1100034441 - 23 = 1100034433 is a prime.

It is a super-3 number, since 3×11000344413 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100034449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58720 + ... + 75153.

It is an arithmetic number, because the mean of its divisors is an integer number (73095204).

Almost surely, 21100034441 is an apocalyptic number.

1100034441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100034441 is a deficient number, since it is larger than the sum of its proper divisors (654250455).

1100034441 is a wasteful number, since it uses less digits than its factorization.

1100034441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133973 (or 133970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1100034441 is about 33166.7671171008. The cubic root of 1100034441 is about 1032.2908889074.

Adding to 1100034441 its reverse (1444300011), we get a palindrome (2544334452).

The spelling of 1100034441 in words is "one billion, one hundred million, thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 133873 401619 1204857 1472603 4417809 11111459 13253427 33334377 100003131 122226049 366678147 1100034441