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13331043331431 = 371921758480851
BaseRepresentation
bin1100000111111110000000…
…0110100010110101100111
31202012102202022221012001120
43001333200012202311213
53221403434043101211
644204110300025023
72544064452445350
oct301774006426547
952172668835046
1013331043331431
11427a73346a401
1215b378b532173
1375915c07b297
14341323d9cd27
15181b8735ed06
hexc1fe01a2d67

13331043331431 has 24 divisors (see below), whose sum is σ = 21439398547584. Its totient is φ = 7216805408400.

The previous prime is 13331043331343. The next prime is 13331043331471. The reversal of 13331043331431 is 13413334013331.

13331043331431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13331043331431 - 27 = 13331043331303 is a prime.

It is a super-2 number, since 2×133310433314312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13331043331392 and 13331043331401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331043331471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879232845 + ... + 879248006.

It is an arithmetic number, because the mean of its divisors is an integer number (893308272816).

Almost surely, 213331043331431 is an apocalyptic number.

13331043331431 is a deficient number, since it is larger than the sum of its proper divisors (8108355216153).

13331043331431 is a wasteful number, since it uses less digits than its factorization.

13331043331431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758480899 (or 1758480880 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 13331043331431 its reverse (13413334013331), we get a palindrome (26744377344762).

The spelling of 13331043331431 in words is "thirteen trillion, three hundred thirty-one billion, forty-three million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 361 399 1083 2527 7581 1758480851 5275442553 12309365957 33411136169 36928097871 100233408507 233877953183 634811587211 701633859549 1904434761633 4443681110477 13331043331431