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1301322310020 = 223257229568389
BaseRepresentation
bin10010111011111100110…
…110101010000110000100
311121101221101111202120100
4102323330312222012010
5132310102002410040
62433452541204100
7163005660061545
oct22737466520604
94541841452510
101301322310020
11461984578297
12190256260630
13959390440c5
1446dad0364cc
1523cb5070b30
hex12efcdaa184

1301322310020 has 36 divisors (see below), whose sum is σ = 3947344340940. Its totient is φ = 347019282624.

The previous prime is 1301322309997. The next prime is 1301322310031. The reversal of 1301322310020 is 200132231031.

1301322310020 is a `hidden beast` number, since 1 + 30 + 1 + 322 + 310 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 389877857604 + 911444452416 = 624402^2 + 954696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301322309975 and 1301322310002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3614784015 + ... + 3614784374.

It is an arithmetic number, because the mean of its divisors is an integer number (109648453915).

Almost surely, 21301322310020 is an apocalyptic number.

1301322310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301322310020 is an abundant number, since it is smaller than the sum of its proper divisors (2646022030920).

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

1301322310020 is a wasteful number, since it uses less digits than its factorization.

1301322310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229568404 (or 7229568399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1301322310020 its reverse (200132231031), we get a palindrome (1501454541051).

The spelling of 1301322310020 in words is "one trillion, three hundred one billion, three hundred twenty-two million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7229568389 14459136778 21688705167 28918273556 36147841945 43377410334 65066115501 72295683890 86754820668 108443525835 130132231002 144591367780 216887051670 260264462004 325330577505 433774103340 650661155010 1301322310020