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123344342011 = 1181125435437
BaseRepresentation
bin111001011011111100…
…1010100101111111011
3102210101002010210021101
41302313321110233323
54010102122421021
6132355201152231
711624405415442
oct1626771245773
9383332123241
10123344342011
1148345735840
121baa392b677
13b829023677
145d81585d59
15331d8b6a91
hex1cb7e54bfb

123344342011 has 16 divisors (see below), whose sum is σ = 134801146368. Its totient is φ = 111928327200.

The previous prime is 123344342003. The next prime is 123344342021. The reversal of 123344342011 is 110243443321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123344342011 - 23 = 123344342003 is a prime.

It is a super-3 number, since 3×1233443420113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123344342021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22683385 + ... + 22688821.

It is an arithmetic number, because the mean of its divisors is an integer number (8425071648).

Almost surely, 2123344342011 is an apocalyptic number.

123344342011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123344342011 is a deficient number, since it is larger than the sum of its proper divisors (11456804357).

123344342011 is a wasteful number, since it uses less digits than its factorization.

123344342011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123344342011 its reverse (110243443321), we get a palindrome (233587785332).

The spelling of 123344342011 in words is "one hundred twenty-three billion, three hundred forty-four million, three hundred forty-two thousand, eleven".

Divisors: 1 11 811 2543 5437 8921 27973 59807 2062373 4409407 13826291 22686103 48503477 152089201 11213122001 123344342011