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311130322020 = 223357273130139
BaseRepresentation
bin1001000011100001100…
…11111111010001100100
31002202002012120222012000
410201300303333101210
520044143330301040
6354533054325300
731323046046640
oct4416063772144
91082065528160
10311130322020
1110aa49a56a41
1250370ab9830
1323454a5547b
14110b7457c20
15815e8e2130
hex4870cff464

311130322020 has 192 divisors, whose sum is σ = 1106682931200. Its totient is φ = 71087103360.

The previous prime is 311130322003. The next prime is 311130322037. The reversal of 311130322020 is 20223031113.

311130322020 is a `hidden beast` number, since 311 + 1 + 30 + 322 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (311130322003) and next prime (311130322037).

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 = 311130321984 and 311130322002.

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 63 ways as a sum of consecutive naturals, for example, 10308111 + ... + 10338249.

It is an arithmetic number, because the mean of its divisors is an integer number (5763973600).

Almost surely, 2311130322020 is an apocalyptic number.

311130322020 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 311130322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553341465600).

311130322020 is an abundant number, since it is smaller than the sum of its proper divisors (795552609180).

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

311130322020 is a wasteful number, since it uses less digits than its factorization.

311130322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32895 (or 32887 counting only the distinct ones).

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

Adding to 311130322020 its reverse (20223031113), we get a palindrome (331353353133).

The spelling of 311130322020 in words is "three hundred eleven billion, one hundred thirty million, three hundred twenty-two thousand, twenty".