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12442312311 = 31113101287159
BaseRepresentation
bin10111001011001111…
…01001111001110111
31012010010101221202220
423211213221321313
5200440212443221
65414345533423
7620221624002
oct134547517167
935103357686
1012442312311
1153053a7440
1224b2aa4273
13123399c2a0
14860678539
154cc4e10c6
hex2e59e9e77

12442312311 has 32 divisors (see below), whose sum is σ = 19683095040. Its totient is φ = 6891792000.

The previous prime is 12442312261. The next prime is 12442312321. The reversal of 12442312311 is 11321324421.

It is not a de Polignac number, because 12442312311 - 26 = 12442312247 is a prime.

It is a super-2 number, since 2×124423123112 (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 (12442312321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100251 + ... + 186908.

It is an arithmetic number, because the mean of its divisors is an integer number (615096720).

Almost surely, 212442312311 is an apocalyptic number.

12442312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12442312311 is a deficient number, since it is larger than the sum of its proper divisors (7240782729).

12442312311 is a wasteful number, since it uses less digits than its factorization.

12442312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287287.

The product of its digits is 1152, while the sum is 24.

Adding to 12442312311 its reverse (11321324421), we get a palindrome (23763636732).

The spelling of 12442312311 in words is "twelve billion, four hundred forty-two million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 11 13 33 39 101 143 303 429 1111 1313 3333 3939 14443 43329 287159 861477 3158749 3733067 9476247 11199201 29003059 41063737 87009177 123191211 319033649 377039767 957100947 1131119301 4147437437 12442312311