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312311032220 = 225112227963719
BaseRepresentation
bin1001000101101110011…
…00000010100110011100
31002212010111022021002102
410202313030002212130
520104103111012340
6355250153144232
731364233654505
oct4426714024634
91085114267072
10312311032220
111104a5487aa0
12506403bb078
13235b2554865
141118a1a5bac
1581cd3bc215
hex48b730299c

312311032220 has 48 divisors (see below), whose sum is σ = 715519526400. Its totient is φ = 113560768320.

The previous prime is 312311032219. The next prime is 312311032249. The reversal of 312311032220 is 22230113213.

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 = 312311032192 and 312311032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4869521 + ... + 4933239.

It is an arithmetic number, because the mean of its divisors is an integer number (14906656800).

Almost surely, 2312311032220 is an apocalyptic number.

It is an amenable number.

312311032220 is an abundant number, since it is smaller than the sum of its proper divisors (403208494180).

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

312311032220 is a wasteful number, since it uses less digits than its factorization.

312311032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86018 (or 86016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312311032220 its reverse (22230113213), we get a palindrome (334541145433).

The spelling of 312311032220 in words is "three hundred twelve billion, three hundred eleven million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 22279 44558 63719 89116 111395 127438 222790 245069 254876 318595 445580 490138 637190 700909 980276 1225345 1274380 1401818 2450690 2803636 3504545 4901380 7009090 14018180 1419595601 2839191202 5678382404 7097978005 14195956010 15615551611 28391912020 31231103222 62462206444 78077758055 156155516110 312311032220