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13342133431 = 11193110120389
BaseRepresentation
bin11000110110100000…
…01100110010110111
31021102211120121022001
430123100030302313
5204311041232211
610043532120131
7651426156124
oct143320146267
937384517261
1013342133431
115727317360
122704306047
131348232413
14907d8974b
155314d4ac1
hex31b40ccb7

13342133431 has 32 divisors (see below), whose sum is σ = 15972710400. Its totient is φ = 11009520000.

The previous prime is 13342133407. The next prime is 13342133459. The reversal of 13342133431 is 13433124331.

13342133431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13342133431 - 27 = 13342133303 is a prime.

It is a super-4 number, since 4×133421334314 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13342133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342133491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644185 + ... + 664573.

It is an arithmetic number, because the mean of its divisors is an integer number (499147200).

Almost surely, 213342133431 is an apocalyptic number.

13342133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13342133431 is a deficient number, since it is larger than the sum of its proper divisors (2630576969).

13342133431 is a wasteful number, since it uses less digits than its factorization.

13342133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20551.

The product of its digits is 7776, while the sum is 28.

Adding to 13342133431 its reverse (13433124331), we get a palindrome (26775257762).

The spelling of 13342133431 in words is "thirteen billion, three hundred forty-two million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 11 19 31 101 209 341 589 1111 1919 3131 6479 20389 21109 34441 59489 224279 387391 632059 654379 2059289 4261301 6952649 12009121 22652179 39126491 63837959 132100331 430391401 702217549 1212921221 13342133431