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2201022312320 = 27513264545951
BaseRepresentation
bin100000000001110111001…
…001110010111110000000
321210102020000210101022202
4200001313021302332000
5242030143202443240
64403045150452332
7315006245652326
oct40016711627600
97712200711282
102201022312320
117794a27953a7
122b66a5b040a8
1312c72b603480
147875c649d16
153c3c108e315
hex20077272f80

2201022312320 has 64 divisors (see below), whose sum is σ = 5666574291840. Its totient is φ = 812685158400.

The previous prime is 2201022312263. The next prime is 2201022312347. The reversal of 2201022312320 is 232132201022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 2201022312292 and 2201022312301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132264656 + ... + 132281295.

It is an arithmetic number, because the mean of its divisors is an integer number (88540223310).

Almost surely, 22201022312320 is an apocalyptic number.

2201022312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201022312320 is an abundant number, since it is smaller than the sum of its proper divisors (3465551979520).

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

2201022312320 is a wasteful number, since it uses less digits than its factorization.

2201022312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264545983 (or 264545971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2201022312320 its reverse (232132201022), we get a palindrome (2433154513342).

The spelling of 2201022312320 in words is "two trillion, two hundred one billion, twenty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 264545951 529091902 1058183804 1322729755 2116367608 2645459510 3439097363 4232735216 5290919020 6878194726 8465470432 10581838040 13756389452 16930940864 17195486815 21163676080 27512778904 33861881728 34390973630 42327352160 55025557808 68781947260 84654704320 110051115616 137563894520 169309408640 220102231232 275127789040 440204462464 550255578080 1100511156160 2201022312320