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31343121441 = 323482569049
BaseRepresentation
bin11101001100001100…
…100001010000100001
32222220100121112121200
4131030030201100201
51003142314341231
622222051511413
72156466064542
oct351414412041
988810545550
1031343121441
1112324414055
1260a88b8569
132c5671a608
1417349924c9
15c369d5be6
hex74c321421

31343121441 has 6 divisors (see below), whose sum is σ = 45273397650. Its totient is φ = 20895414288.

The previous prime is 31343121437. The next prime is 31343121577. The reversal of 31343121441 is 14412134313.

31343121441 is a `hidden beast` number, since 3 + 13 + 431 + 214 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31162487841 + 180633600 = 176529^2 + 13440^2 .

It is not a de Polignac number, because 31343121441 - 22 = 31343121437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31343121421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1741284516 + ... + 1741284533.

It is an arithmetic number, because the mean of its divisors is an integer number (7545566275).

Almost surely, 231343121441 is an apocalyptic number.

It is an amenable number.

31343121441 is a deficient number, since it is larger than the sum of its proper divisors (13930276209).

31343121441 is a wasteful number, since it uses less digits than its factorization.

31343121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482569055 (or 3482569052 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31343121441 its reverse (14412134313), we get a palindrome (45755255754).

The spelling of 31343121441 in words is "thirty-one billion, three hundred forty-three million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 3482569049 10447707147 31343121441