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1303010213220 = 2232510171672729
BaseRepresentation
bin10010111101100001011…
…101011111110101100100
311121120022000121010110200
4102331201131133311210
5132322031103310340
62434332234550500
7163065544032252
oct22754135376544
94546260533420
101303010213220
11462670328a11
12190647598430
1395b479465b1
14470cd28d5d2
1523d63335330
hex12f6175fd64

1303010213220 has 72 divisors (see below), whose sum is σ = 3991597679160. Its totient is φ = 344029094400.

The previous prime is 1303010213209. The next prime is 1303010213231. The reversal of 1303010213220 is 223120103031.

1303010213220 is a `hidden beast` number, since 130 + 301 + 0 + 2 + 13 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1303010213209) and next prime (1303010213231).

It can be written as a sum of positive squares in 4 ways, for example, as 159603446016 + 1143406767204 = 399504^2 + 1069302^2 .

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 = 1303010213193 and 1303010213202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35818185 + ... + 35854544.

It is an arithmetic number, because the mean of its divisors is an integer number (55438856655).

Almost surely, 21303010213220 is an apocalyptic number.

1303010213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303010213220 is an abundant number, since it is smaller than the sum of its proper divisors (2688587465940).

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

1303010213220 is a wasteful number, since it uses less digits than its factorization.

1303010213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71672845 (or 71672840 counting only the distinct ones).

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

Adding to 1303010213220 its reverse (223120103031), we get a palindrome (1526130316251).

The spelling of 1303010213220 in words is "one trillion, three hundred three billion, ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 71672729 143345458 215018187 286690916 358363645 430036374 645054561 716727290 860072748 1075090935 1290109122 1433454580 2150181870 2580218244 3225272805 4300363740 6450545610 7238945629 12901091220 14477891258 21716836887 28955782516 36194728145 43433673774 65150510661 72389456290 86867347548 108584184435 130301021322 144778912580 217168368870 260602042644 325752553305 434336737740 651505106610 1303010213220