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313152020 = 22528155721
BaseRepresentation
bin10010101010100…
…101001000010100
3210211020202210222
4102222211020110
51120131331040
651023533512
710521514436
oct2252451024
9724222728
10313152020
11150847825
1288a5a298
134cb5426c
142d838656
151c75abb5
hex12aa5214

313152020 has 24 divisors (see below), whose sum is σ = 659971368. Its totient is φ = 124812800.

The previous prime is 313152011. The next prime is 313152029. The reversal of 313152020 is 20251313.

It is an interprime number because it is at equal distance from previous prime (313152011) and next prime (313152029).

It can be written as a sum of positive squares in 4 ways, for example, as 155850256 + 157301764 = 12484^2 + 12542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313152020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313152029) 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 7 ways as a sum of consecutive naturals, for example, 22241 + ... + 33480.

It is an arithmetic number, because the mean of its divisors is an integer number (27498807).

Almost surely, 2313152020 is an apocalyptic number.

It is an amenable number.

313152020 is an abundant number, since it is smaller than the sum of its proper divisors (346819348).

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

313152020 is a wasteful number, since it uses less digits than its factorization.

313152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56011 (or 56009 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 313152020 is about 17696.1018306293. The cubic root of 313152020 is about 679.0760375051.

The spelling of 313152020 in words is "three hundred thirteen million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 55721 111442 222884 278605 557210 1114420 15657601 31315202 62630404 78288005 156576010 313152020