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311311122220 = 225743616712653
BaseRepresentation
bin1001000011110111001…
…01101011111100101100
31002202112210210120102201
410201323211223330230
520100031121402340
6355003033431244
731330402610140
oct4417345537454
91082483716381
10311311122220
1111003201589a
125040156b524
1323483349637
14110d347d220
15817070779a
hex487b96bf2c

311311122220 has 192 divisors, whose sum is σ = 788715518976. Its totient is φ = 101005470720.

The previous prime is 311311122197. The next prime is 311311122289. The reversal of 311311122220 is 22221113113.

It is a super-2 number, since 2×3113111222202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24597414 + ... + 24610066.

It is an arithmetic number, because the mean of its divisors is an integer number (4107893328).

Almost surely, 2311311122220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311311122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394357759488).

311311122220 is an abundant number, since it is smaller than the sum of its proper divisors (477404396756).

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

311311122220 is a wasteful number, since it uses less digits than its factorization.

311311122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 311311122220 its reverse (22221113113), we get a palindrome (333532235333).

The spelling of 311311122220 in words is "three hundred eleven billion, three hundred eleven million, one hundred twenty-two thousand, two hundred twenty".