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311213131332 = 223611014209451
BaseRepresentation
bin1001000011101011011…
…11111000011001000100
31002202021222102010012120
410201311233320121010
520044331030200312
6354545213245540
731325102653335
oct4416557703104
91082258363176
10311213131332
1110aa91776894
12503947938b0
1323468c5a46c
14110c445228c
158166ced28c
hex4875bf8644

311213131332 has 48 divisors (see below), whose sum is σ = 745376084544. Its totient is φ = 101026800000.

The previous prime is 311213131331. The next prime is 311213131357. The reversal of 311213131332 is 233131312113.

It is a super-2 number, since 2×3112131313322 (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 not an unprimeable number, because it can be changed into a prime (311213131331) 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 15 ways as a sum of consecutive naturals, for example, 2030794 + ... + 2178657.

It is an arithmetic number, because the mean of its divisors is an integer number (15528668428).

Almost surely, 2311213131332 is an apocalyptic number.

It is an amenable number.

311213131332 is an abundant number, since it is smaller than the sum of its proper divisors (434162953212).

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

311213131332 is a wasteful number, since it uses less digits than its factorization.

311213131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209620 (or 4209618 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 311213131332 its reverse (233131312113), we get a palindrome (544344443445).

The spelling of 311213131332 in words is "three hundred eleven billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 101 122 183 202 244 303 366 404 606 732 1212 6161 12322 18483 24644 36966 73932 4209451 8418902 12628353 16837804 25256706 50513412 256776511 425154551 513553022 770329533 850309102 1027106044 1275463653 1540659066 1700618204 2550927306 3081318132 5101854612 25934427611 51868855222 77803282833 103737710444 155606565666 311213131332