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2201320230320 = 2453712743913339
BaseRepresentation
bin100000000010001000111…
…010010000110110110000
321210102222210101011222202
4200002020322100312300
5242031300434332240
64403134512122332
7315016524141041
oct40021072206660
97712883334882
102201320230320
11779635977622
122b67698363a8
1312c778252703
147878a03a8c8
153c3dc2db315
hex20088e90db0

2201320230320 has 160 divisors (see below), whose sum is σ = 5310250598400. Its totient is φ = 847984370688.

The previous prime is 2201320230301. The next prime is 2201320230323. The reversal of 2201320230320 is 230320231022.

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 = 2201320230292 and 2201320230301.

It is not an unprimeable number, because it can be changed into a prime (2201320230323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165022211 + ... + 165035549.

It is an arithmetic number, because the mean of its divisors is an integer number (33189066240).

Almost surely, 22201320230320 is an apocalyptic number.

2201320230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201320230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655125299200).

2201320230320 is an abundant number, since it is smaller than the sum of its proper divisors (3108930368080).

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

2201320230320 is a wasteful number, since it uses less digits than its factorization.

2201320230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13955 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2201320230320 its reverse (230320231022), we get a palindrome (2431640461342).

The spelling of 2201320230320 in words is "two trillion, two hundred one billion, three hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 127 148 185 254 296 370 439 508 592 635 740 878 1016 1270 1480 1756 2032 2195 2540 2960 3512 4390 4699 5080 7024 8780 9398 10160 13339 16243 17560 18796 23495 26678 32486 35120 37592 46990 53356 55753 64972 66695 75184 81215 93980 106712 111506 129944 133390 162430 187960 213424 223012 259888 266780 278765 324860 375920 446024 493543 533560 557530 649720 892048 987086 1067120 1115060 1299440 1694053 1974172 2062861 2230120 2467715 3388106 3948344 4125722 4460240 4935430 5855821 6776212 7896688 8251444 8470265 9870860 10314305 11711642 13552424 16502888 16940530 19741720 20628610 23423284 27104848 29279105 33005776 33881060 39483440 41257220 46846568 58558210 62679961 67762120 82514440 93693136 117116420 125359922 135524240 165028880 216665377 234232840 250719844 313399805 433330754 468465680 501439688 626799610 743689267 866661508 1002879376 1083326885 1253599220 1487378534 1733323016 2166653770 2507198440 2974757068 3466646032 3718446335 4333307540 5014396880 5949514136 7436892670 8666615080 11899028272 14873785340 17333230160 27516502879 29747570680 55033005758 59495141360 110066011516 137582514395 220132023032 275165028790 440264046064 550330057580 1100660115160 2201320230320