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13203412431 = 311247597643
BaseRepresentation
bin11000100101111110…
…00001010111001111
31021002011112211212020
430102333001113033
5204020033144211
610022054541223
7645123103536
oct142277012717
937064484766
1013203412431
115665a89200
122685967813
1313255822a1
148d379931d
15524232306
hex312fc15cf

13203412431 has 24 divisors (see below), whose sum is σ = 19357054080. Its totient is φ = 7999339920.

The previous prime is 13203412393. The next prime is 13203412441. The reversal of 13203412431 is 13421430231.

It is a happy number.

It is not a de Polignac number, because 13203412431 - 213 = 13203404239 is a prime.

It is a super-2 number, since 2×132034124312 (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 (13203412441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723696 + ... + 1731338.

It is an arithmetic number, because the mean of its divisors is an integer number (806543920).

Almost surely, 213203412431 is an apocalyptic number.

13203412431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13203412431 is a deficient number, since it is larger than the sum of its proper divisors (6153641649).

13203412431 is a wasteful number, since it uses less digits than its factorization.

13203412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13203412431 its reverse (13421430231), we get a palindrome (26624842662).

The spelling of 13203412431 in words is "thirteen billion, two hundred three million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 4759 7643 14277 22929 52349 84073 157047 252219 575839 924803 1727517 2774409 36373037 109119111 400103407 1200310221 4401137477 13203412431