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13144123311 = 3112231786129
BaseRepresentation
bin11000011110111001…
…10110011110101111
31020221000222122110220
430033130312132233
5203404343421221
610012140102423
7643503130134
oct141734663657
936830878426
1013144123311
115635573430
122669b34a13
1313161c3a77
148c996458b
1551de200c6
hex30f7367af

13144123311 has 16 divisors (see below), whose sum is σ = 19204469760. Its totient is φ = 7930408320.

The previous prime is 13144123301. The next prime is 13144123313. The reversal of 13144123311 is 11332144131.

It is a happy number.

It is not a de Polignac number, because 13144123311 - 26 = 13144123247 is a prime.

It is a super-2 number, since 2×131441233112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144123313) 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, 885706 + ... + 900423.

It is an arithmetic number, because the mean of its divisors is an integer number (1200279360).

Almost surely, 213144123311 is an apocalyptic number.

13144123311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13144123311 is a deficient number, since it is larger than the sum of its proper divisors (6060346449).

13144123311 is a wasteful number, since it uses less digits than its factorization.

13144123311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786366.

The product of its digits is 864, while the sum is 24.

Adding to 13144123311 its reverse (11332144131), we get a palindrome (24476267442).

The spelling of 13144123311 in words is "thirteen billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 11 33 223 669 2453 7359 1786129 5358387 19647419 58942257 398306767 1194920301 4381374437 13144123311