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1100112141 = 31938814973
BaseRepresentation
bin100000110010010…
…0110000100001101
32211200001111011010
41001210212010031
54223112042031
6301055115433
736155541012
oct10144460415
92750044133
101100112141
11514a91597
12268512b79
13146bbca3b
14a616b709
15668a9246
hex4192610d

1100112141 has 16 divisors (see below), whose sum is σ = 1544725440. Its totient is φ = 694488960.

The previous prime is 1100112133. The next prime is 1100112173. The reversal of 1100112141 is 1412110011.

It is not a de Polignac number, because 1100112141 - 23 = 1100112133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112121) 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 15 ways as a sum of consecutive naturals, for example, 218731 + ... + 223703.

It is an arithmetic number, because the mean of its divisors is an integer number (96545340).

Almost surely, 21100112141 is an apocalyptic number.

It is an amenable number.

1100112141 is a deficient number, since it is larger than the sum of its proper divisors (444613299).

1100112141 is a wasteful number, since it uses less digits than its factorization.

1100112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1100112141 is about 33167.9384496535. The cubic root of 1100112141 is about 1032.3151933324.

Adding to 1100112141 its reverse (1412110011), we get a palindrome (2512222152).

The spelling of 1100112141 in words is "one billion, one hundred million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 19 57 3881 4973 11643 14919 73739 94487 221217 283461 19300213 57900639 366704047 1100112141