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311311021320 = 2332513325920411
BaseRepresentation
bin1001000011110111001…
…01010011010100001000
31002202112210121110000200
410201323211103110020
520100031110140240
6355003031332200
731330402010025
oct4417345232410
91082483543020
10311311021320
11110031a57002
1250401521060
1323483312730
14110d345454c
1581706d7930
hex487b953508

311311021320 has 192 divisors, whose sum is σ = 1089976305600. Its totient is φ = 76603138560.

The previous prime is 311311021313. The next prime is 311311021321. The reversal of 311311021320 is 23120113113.

311311021320 is a `hidden beast` number, since 3 + 11 + 311 + 0 + 21 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 311311021293 and 311311021302.

It is not an unprimeable number, because it can be changed into a prime (311311021321) 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 47 ways as a sum of consecutive naturals, for example, 15241915 + ... + 15262325.

It is an arithmetic number, because the mean of its divisors is an integer number (5676959925).

Almost surely, 2311311021320 is an apocalyptic number.

311311021320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311311021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544988152800).

311311021320 is an abundant number, since it is smaller than the sum of its proper divisors (778665284280).

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

311311021320 is a wasteful number, since it uses less digits than its factorization.

311311021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23700 (or 23693 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311311021320 its reverse (23120113113), we get a palindrome (334431134433).

The spelling of 311311021320 in words is "three hundred eleven billion, three hundred eleven million, twenty-one thousand, three hundred twenty".