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1312223132331 = 33377383216791
BaseRepresentation
bin10011000110000110100…
…101111111101010101011
311122110002002022220121000
4103012012211333222223
5132444413110213311
62442454343450043
7163543053405606
oct23060645775253
94573062286530
101312223132331
11466568826451
12192398a56923
1396985555317
1447724a8b33d
152420206e056
hex1318697faab

1312223132331 has 64 divisors (see below), whose sum is σ = 2048320189440. Its totient is φ = 829393447680.

The previous prime is 1312223132329. The next prime is 1312223132447. The reversal of 1312223132331 is 1332313222131.

1312223132331 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 2 + 313 + 2 + 331 = 666.

It is not a de Polignac number, because 1312223132331 - 21 = 1312223132329 is a prime.

It is a super-2 number, since 2×13122231323312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312223132295 and 1312223132304.

It is not an unprimeable number, because it can be changed into a prime (1312223172331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5944546 + ... + 6161336.

It is an arithmetic number, because the mean of its divisors is an integer number (32005002960).

Almost surely, 21312223132331 is an apocalyptic number.

1312223132331 is a deficient number, since it is larger than the sum of its proper divisors (736097057109).

1312223132331 is a wasteful number, since it uses less digits than its factorization.

1312223132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216993 (or 216987 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1312223132331 its reverse (1332313222131), we get a palindrome (2644536354462).

The spelling of 1312223132331 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 73 83 111 219 249 333 657 747 999 1971 2241 2701 3071 6059 8103 9213 18177 24309 27639 54531 72927 82917 163593 216791 224183 650373 672549 1951119 2017647 5853357 6052941 8021267 15825743 17993653 24063801 47477229 53980959 72191403 142431687 161942877 216574209 427295061 485828631 585552491 665765161 1313536669 1756657473 1997295483 3940610007 5269972419 5991886449 11821830021 15809917257 17975659347 35465490063 48600856753 145802570259 437407710777 1312223132331