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1100013123 = 311292933923
BaseRepresentation
bin100000110010000…
…1101111001000011
32211122212110022210
41001210031321003
54223100404443
6301053033203
736154646226
oct10144157103
92748773283
101100013123
11514a24160
12268485803
13146b86951
14a61435bd
1566889c33
hex4190de43

1100013123 has 32 divisors (see below), whose sum is σ = 1661264640. Its totient is φ = 641325440.

The previous prime is 1100013053. The next prime is 1100013127. The reversal of 1100013123 is 3213100011.

It is a cyclic number.

It is not a de Polignac number, because 1100013123 - 214 = 1099996739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100013099 and 1100013108.

It is not an unprimeable number, because it can be changed into a prime (1100013127) 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 31 ways as a sum of consecutive naturals, for example, 278440 + ... + 282362.

It is an arithmetic number, because the mean of its divisors is an integer number (51914520).

Almost surely, 21100013123 is an apocalyptic number.

1100013123 is a deficient number, since it is larger than the sum of its proper divisors (561251517).

1100013123 is a wasteful number, since it uses less digits than its factorization.

1100013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1100013123 is about 33166.4457396327. The cubic root of 1100013123 is about 1032.2842204740.

Adding to 1100013123 its reverse (3213100011), we get a palindrome (4313113134).

The spelling of 1100013123 in words is "one billion, one hundred million, thirteen thousand, one hundred twenty-three".

Divisors: 1 3 11 29 33 87 293 319 879 957 3223 3923 8497 9669 11769 25491 43153 93467 113767 129459 280401 341301 1149439 1251437 3448317 3754311 12643829 33333731 37931487 100001193 366671041 1100013123