Search a number
-
+
311303120220 = 223251729461779
BaseRepresentation
bin1001000011110110001…
…11001010010101011100
31002202112020202000202100
410201323013022111130
520100022044321340
6355002150125100
731330244601531
oct4417307122534
91082466660670
10311303120220
1111002854a874
12503ba950790
13234817a7321
14110d2398d88
15816eb76830
hex487b1ca55c

311303120220 has 36 divisors (see below), whose sum is σ = 944286131880. Its totient is φ = 83014165344.

The previous prime is 311303120207. The next prime is 311303120251. The reversal of 311303120220 is 22021303113.

311303120220 is a `hidden beast` number, since 3 + 1 + 130 + 312 + 0 + 220 = 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 junction number, because it is equal to n+sod(n) for n = 311303120193 and 311303120202.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 864730710 + ... + 864731069.

It is an arithmetic number, because the mean of its divisors is an integer number (26230170330).

Almost surely, 2311303120220 is an apocalyptic number.

311303120220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311303120220 is an abundant number, since it is smaller than the sum of its proper divisors (632983011660).

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

311303120220 is a wasteful number, since it uses less digits than its factorization.

311303120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729461794 (or 1729461789 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 311303120220 its reverse (22021303113), we get a palindrome (333324423333).

The spelling of 311303120220 in words is "three hundred eleven billion, three hundred three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1729461779 3458923558 5188385337 6917847116 8647308895 10376770674 15565156011 17294617790 20753541348 25941926685 31130312022 34589235580 51883853370 62260624044 77825780055 103767706740 155651560110 311303120220