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1311033332034 = 232233312597361
BaseRepresentation
bin10011000100111111101…
…011010001000101000010
311122100000011111210102100
4103010333223101011002
5132434444013111114
62442140322131230
7163501425311226
oct23047753210502
94570004453370
101311033332034
11466008156918
121921064b0b16
1396825bc258a
1447650a54786
152418289a909
hex1313fad1142

1311033332034 has 24 divisors (see below), whose sum is σ = 2852763525612. Its totient is φ = 435135525120.

The previous prime is 1311033332033. The next prime is 1311033332111. The reversal of 1311033332034 is 4302333301131.

1311033332034 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 333 + 320 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1293963125625 + 17070206409 = 1137525^2 + 130653^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1311033331989 and 1311033332007.

It is not an unprimeable number, because it can be changed into a prime (1311033332033) 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 11 ways as a sum of consecutive naturals, for example, 156294487 + ... + 156302874.

Almost surely, 21311033332034 is an apocalyptic number.

1311033332034 is an abundant number, since it is smaller than the sum of its proper divisors (1541730193578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311033332034 is a wasteful number, since it uses less digits than its factorization.

1311033332034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312597602 (or 312597599 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1311033332034 its reverse (4302333301131), we get a palindrome (5613366633165).

The spelling of 1311033332034 in words is "one trillion, three hundred eleven billion, thirty-three million, three hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 233 466 699 1398 2097 4194 312597361 625194722 937792083 1875584166 2813376249 5626752498 72835185113 145670370226 218505555339 437011110678 655516666017 1311033332034