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313320303020 = 225172931776907
BaseRepresentation
bin1001000111100110101…
…10000110100110101100
31002221201211102112100102
410203303112012212230
520113134444144040
6355534245250232
731431240430124
oct4436326064654
91087654375312
10313320303020
1111097316309a
1250882403978
132371368970a
1411244247c84
15823bcd0515
hex48f35869ac

313320303020 has 48 divisors (see below), whose sum is σ = 720700273440. Its totient is φ = 113888431104.

The previous prime is 313320302983. The next prime is 313320303047. The reversal of 313320303020 is 20303023313.

It is a super-2 number, since 2×3133203030202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313320302983 and 313320303001.

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 15 ways as a sum of consecutive naturals, for example, 15878594 + ... + 15898313.

It is an arithmetic number, because the mean of its divisors is an integer number (15014589030).

Almost surely, 2313320303020 is an apocalyptic number.

It is an amenable number.

313320303020 is an abundant number, since it is smaller than the sum of its proper divisors (407379970420).

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

313320303020 is a wasteful number, since it uses less digits than its factorization.

313320303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31776962 (or 31776960 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 313320303020 its reverse (20303023313), we get a palindrome (333623326333).

The spelling of 313320303020 in words is "three hundred thirteen billion, three hundred twenty million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 31776907 63553814 127107628 158884535 317769070 540207419 635538140 921530303 1080414838 1843060606 2160829676 2701037095 3686121212 4607651515 5402074190 9215303030 10804148380 15666015151 18430606060 31332030302 62664060604 78330075755 156660151510 313320303020