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2210303301320 = 235353601260461
BaseRepresentation
bin100000001010100000010…
…101111101011011001000
321211022011211121110210002
4200022200111331123020
5242203200121120240
64411222130342132
7315455243033312
oct40124025753310
97738154543702
102210303301320
11782425655844
122b845612a948
1313057a35633a
1478d9d0c67b2
153c765c71d15
hex202a057d6c8

2210303301320 has 64 divisors (see below), whose sum is σ = 4995588230640. Its totient is φ = 880146432000.

The previous prime is 2210303301317. The next prime is 2210303301329. The reversal of 2210303301320 is 231033030122.

It can be written as a sum of positive squares in 8 ways, for example, as 1934953332676 + 275349968644 = 1391026^2 + 524738^2 .

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 = 2210303301292 and 2210303301301.

It is not an unprimeable number, because it can be changed into a prime (2210303301329) by changing a digit.

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, 8355890 + ... + 8616350.

Almost surely, 22210303301320 is an apocalyptic number.

2210303301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210303301320 is an abundant number, since it is smaller than the sum of its proper divisors (2785284929320).

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

2210303301320 is a wasteful number, since it uses less digits than its factorization.

2210303301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261426 (or 261422 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2210303301320 its reverse (231033030122), we get a palindrome (2441336331442).

The spelling of 2210303301320 in words is "two trillion, two hundred ten billion, three hundred three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 353 601 706 1202 1412 1765 2404 2824 3005 3530 4808 6010 7060 12020 14120 24040 212153 260461 424306 520922 848612 1041844 1060765 1302305 1697224 2083688 2121530 2604610 4243060 5209220 8486120 10418440 91942733 156537061 183885466 313074122 367770932 459713665 626148244 735541864 782685305 919427330 1252296488 1565370610 1838854660 3130741220 3677709320 6261482440 55257582533 110515165066 221030330132 276287912665 442060660264 552575825330 1105151650660 2210303301320