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12504334330431 = 323541392366699
BaseRepresentation
bin1011010111110110010001…
…1001111110101000111111
31122021101212120002121121200
42311331210121332220333
53114332334042033211
642332224545030543
72430260030050626
oct265754431765077
948241776077550
1012504334330431
113a91070818969
12149b510325453
136c91cc7b9c08
143132da7046bd
1516a3ee319b56
hexb5f6467ea3f

12504334330431 has 12 divisors (see below), whose sum is σ = 18066917068200. Its totient is φ = 8333868665520.

The previous prime is 12504334330381. The next prime is 12504334330459. The reversal of 12504334330431 is 13403343340521.

12504334330431 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 4 + 3 + 343 + 304 + 3 + 1 = 666.

It is not a de Polignac number, because 12504334330431 - 211 = 12504334328383 is a prime.

It is a super-2 number, since 2×125043343304312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504334334431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196151481 + ... + 196215218.

It is an arithmetic number, because the mean of its divisors is an integer number (1505576422350).

Almost surely, 212504334330431 is an apocalyptic number.

12504334330431 is a deficient number, since it is larger than the sum of its proper divisors (5562582737769).

12504334330431 is a wasteful number, since it uses less digits than its factorization.

12504334330431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392370246 (or 392370243 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 12504334330431 its reverse (13403343340521), we get a palindrome (25907677670952).

The spelling of 12504334330431 in words is "twelve trillion, five hundred four billion, three hundred thirty-four million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 3541 10623 31869 392366699 1177100097 3531300291 1389370481159 4168111443477 12504334330431