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1100106331 = 31277128113
BaseRepresentation
bin100000110010010…
…0100101001011011
32211200001012011221
41001210210221123
54223111400311
6301055032511
736155515042
oct10144445133
92750035157
101100106331
11514a88195
1226850b737
13146bba1bc
14a6169559
15668a7671
hex41924a5b

1100106331 has 8 divisors (see below), whose sum is σ = 1139702144. Its totient is φ = 1060767360.

The previous prime is 1100106313. The next prime is 1100106341. The reversal of 1100106331 is 1336010011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100106331 is a prime.

It is a super-2 number, since 2×11001063312 = 2420467879012563122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100106341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55470 + ... + 72643.

It is an arithmetic number, because the mean of its divisors is an integer number (142462768).

Almost surely, 21100106331 is an apocalyptic number.

1100106331 is a deficient number, since it is larger than the sum of its proper divisors (39595813).

1100106331 is a wasteful number, since it uses less digits than its factorization.

1100106331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128421.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1100106331 is about 33167.8508649566. The cubic root of 1100106331 is about 1032.3133760141.

Adding to 1100106331 its reverse (1336010011), we get a palindrome (2436116342).

The spelling of 1100106331 in words is "one billion, one hundred million, one hundred six thousand, three hundred thirty-one".

Divisors: 1 31 277 8587 128113 3971503 35487301 1100106331