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310200020 = 225131770181
BaseRepresentation
bin10010011111010…
…100011011010100
3210121200210102122
4102133110123110
51113402400040
650440355112
710454441144
oct2237243324
9717623378
10310200020
1114a110959
1287a75a98
134c35c710
142d2aa924
151c3761b5
hex127d46d4

310200020 has 48 divisors (see below), whose sum is σ = 742806288. Its totient is φ = 107796480.

The previous prime is 310199959. The next prime is 310200031. The reversal of 310200020 is 20002013.

It can be written as a sum of positive squares in 8 ways, for example, as 7300804 + 302899216 = 2702^2 + 17404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 310199980 and 310200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30671 + ... + 39510.

It is an arithmetic number, because the mean of its divisors is an integer number (15475131).

Almost surely, 2310200020 is an apocalyptic number.

It is an amenable number.

310200020 is an abundant number, since it is smaller than the sum of its proper divisors (432606268).

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

310200020 is a wasteful number, since it uses less digits than its factorization.

310200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70220 (or 70218 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 310200020 is about 17612.4961320081. The cubic root of 310200020 is about 676.9354746948.

Adding to 310200020 its reverse (20002013), we get a palindrome (330202033).

The spelling of 310200020 in words is "three hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 70181 140362 280724 350905 701810 912353 1193077 1403620 1824706 2386154 3649412 4561765 4772308 5965385 9123530 11930770 15510001 18247060 23861540 31020002 62040004 77550005 155100010 310200020