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311131122012 = 223255441155887
BaseRepresentation
bin1001000011100001101…
…11000010100101011100
31002202002021002121120100
410201300313002211130
520044144031401022
6354533123421100
731323055621164
oct4416067024534
91082067077510
10311131122012
1110aa4a452a97
1250371224790
1323454c75639
14110b75c55a4
15815e9ee1ac
hex4870dc295c

311131122012 has 36 divisors (see below), whose sum is σ = 786489567136. Its totient is φ = 103707838080.

The previous prime is 311131122011. The next prime is 311131122061. The reversal of 311131122012 is 210221131113.

311131122012 is a `hidden beast` number, since 311 + 131 + 1 + 220 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311131122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1917933 + ... + 2073819.

Almost surely, 2311131122012 is an apocalyptic number.

It is an amenable number.

311131122012 is an abundant number, since it is smaller than the sum of its proper divisors (475358445124).

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

311131122012 is a wasteful number, since it uses less digits than its factorization.

311131122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211338 (or 211333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311131122012 its reverse (210221131113), we get a palindrome (521352253125).

The spelling of 311131122012 in words is "three hundred eleven billion, one hundred thirty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 55441 110882 155887 166323 221764 311774 332646 467661 498969 623548 665292 935322 997938 1402983 1870644 1995876 2805966 5611932 8642531167 17285062334 25927593501 34570124668 51855187002 77782780503 103710374004 155565561006 311131122012