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310313212020 = 2232577114832339
BaseRepresentation
bin1001000010000000001…
…10111101100001110100
31002122222021001110222200
410201000012331201310
520041010140241040
6354320025024500
731263564532020
oct4410006754164
91078867043880
10310313212020
1110a66a79a119
1250183325130
1323354691726
141103ab17380
158112cda630
hex48401bd874

310313212020 has 288 divisors, whose sum is σ = 1092106229760. Its totient is φ = 69852706560.

The previous prime is 310313212019. The next prime is 310313212037. The reversal of 310313212020 is 20212313013.

310313212020 is a `hidden beast` number, since 310 + 31 + 321 + 2 + 0 + 2 + 0 = 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 = 310313211984 and 310313212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132668011 + ... + 132670349.

It is an arithmetic number, because the mean of its divisors is an integer number (3792035520).

Almost surely, 2310313212020 is an apocalyptic number.

310313212020 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 310313212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546053114880).

310313212020 is an abundant number, since it is smaller than the sum of its proper divisors (781793017740).

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

310313212020 is a wasteful number, since it uses less digits than its factorization.

310313212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3910 counting only the distinct ones).

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

Adding to 310313212020 its reverse (20212313013), we get a palindrome (330525525033).

The spelling of 310313212020 in words is "three hundred ten billion, three hundred thirteen million, two hundred twelve thousand, twenty".