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13421212431 = 311271520747
BaseRepresentation
bin11000111111111011…
…10111001100001111
31021122100101020021220
430133331313030033
5204441312244211
610055435054423
7653406265134
oct143775671417
937570336256
1013421212431
115767a19600
1227268a1413
13135b72c523
1491469258b
15538405806
hex31ff7730f

13421212431 has 24 divisors (see below), whose sum is σ = 19946731392. Its totient is φ = 8019488400.

The previous prime is 13421212429. The next prime is 13421212439.

13421212431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13421212431 - 21 = 13421212429 is a prime.

It is a super-2 number, since 2×134212124312 (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 (13421212439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234601 + ... + 286146.

It is an arithmetic number, because the mean of its divisors is an integer number (831113808).

Almost surely, 213421212431 is an apocalyptic number.

13421212431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13421212431 is a deficient number, since it is larger than the sum of its proper divisors (6525518961).

13421212431 is a wasteful number, since it uses less digits than its factorization.

13421212431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520843 (or 520832 counting only the distinct ones).

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

The spelling of 13421212431 in words is "thirteen billion, four hundred twenty-one million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 11 33 71 121 213 363 781 2343 8591 25773 520747 1562241 5728217 17184651 36973037 63010387 110919111 189031161 406703407 1220110221 4473737477 13421212431