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313302020 = 225191674937
BaseRepresentation
bin10010101011001…
…001110000000100
3210211112101120112
4102223021300010
51120201131040
651031052152
710523010653
oct2253116004
9724471515
10313302020
1115093a499
1288b11058
134cba7615
142d87719a
151c78a365
hex12ac9c04

313302020 has 48 divisors (see below), whose sum is σ = 696850560. Its totient is φ = 117990144.

The previous prime is 313302019. The next prime is 313302029. The reversal of 313302020 is 20203313.

It is a junction number, because it is equal to n+sod(n) for n = 313301986 and 313302004.

It is not an unprimeable number, because it can be changed into a prime (313302029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60992 + ... + 65928.

It is an arithmetic number, because the mean of its divisors is an integer number (14517720).

Almost surely, 2313302020 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 313302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348425280).

313302020 is an abundant number, since it is smaller than the sum of its proper divisors (383548540).

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

313302020 is a wasteful number, since it uses less digits than its factorization.

313302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313302020 is about 17700.3395447658. The cubic root of 313302020 is about 679.1844461369.

Adding to 313302020 its reverse (20203313), we get a palindrome (333505333).

The spelling of 313302020 in words is "three hundred thirteen million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 167 190 334 380 668 835 1670 3173 3340 4937 6346 9874 12692 15865 19748 24685 31730 49370 63460 93803 98740 187606 375212 469015 824479 938030 1648958 1876060 3297916 4122395 8244790 15665101 16489580 31330202 62660404 78325505 156651010 313302020