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312231133332 = 223264113530557
BaseRepresentation
bin1001000101100100110…
…11010000000010010100
31002211220220221222102100
410202302123100002110
520103422132231312
6355234220442100
731362243562236
oct4426233200224
91084826858370
10312231133332
11110464375858
12506196a9330
132359bb2b501
141117d728256
1581c63885dc
hex48b26d0094

312231133332 has 36 divisors (see below), whose sum is σ = 790482259476. Its totient is φ = 103914670080.

The previous prime is 312231133303. The next prime is 312231133343. The reversal of 312231133332 is 233331132213.

312231133332 is a `hidden beast` number, since 3 + 12 + 2 + 311 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 269367228036 + 42863905296 = 519006^2 + 207036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3122311333322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312231133296 and 312231133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6742203 + ... + 6788354.

It is an arithmetic number, because the mean of its divisors is an integer number (21957840541).

Almost surely, 2312231133332 is an apocalyptic number.

It is an amenable number.

312231133332 is an abundant number, since it is smaller than the sum of its proper divisors (478251126144).

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

312231133332 is a wasteful number, since it uses less digits than its factorization.

312231133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531208 (or 13531203 counting only the distinct ones).

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

Adding to 312231133332 its reverse (233331132213), we get a palindrome (545562265545).

The spelling of 312231133332 in words is "three hundred twelve billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 641 1282 1923 2564 3846 5769 7692 11538 23076 13530557 27061114 40591671 54122228 81183342 121775013 162366684 243550026 487100052 8673087037 17346174074 26019261111 34692348148 52038522222 78057783333 104077044444 156115566666 312231133332