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1311021333031 = 171153404916519
BaseRepresentation
bin10011000100111110111…
…101011111101000100111
311122022222022221011212211
4103010332331133220213
5132434432430124111
62442135213024251
7163501221314554
oct23047675375047
94568868834784
101311021333031
11466001400893
12192102485087
1396823580b87
144764d20da2b
15241817ca521
hex1313ef5fa27

1311021333031 has 16 divisors (see below), whose sum is σ = 1389771432000. Its totient is φ = 1232453173248.

The previous prime is 1311021332947. The next prime is 1311021333047. The reversal of 1311021333031 is 1303331201131.

It is a cyclic number.

It is not a de Polignac number, because 1311021333031 - 225 = 1310987778599 is a prime.

It is a super-2 number, since 2×13110213330312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311021332993 and 1311021333011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311021333131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79356190 + ... + 79372708.

It is an arithmetic number, because the mean of its divisors is an integer number (86860714500).

Almost surely, 21311021333031 is an apocalyptic number.

1311021333031 is a deficient number, since it is larger than the sum of its proper divisors (78750098969).

1311021333031 is a wasteful number, since it uses less digits than its factorization.

1311021333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21738.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1311021333031 its reverse (1303331201131), we get a palindrome (2614352534162).

The spelling of 1311021333031 in words is "one trillion, three hundred eleven billion, twenty-one million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 17 1153 4049 16519 19601 68833 280823 4668497 19046407 66885431 79364449 323788919 1137052327 77118901943 1311021333031