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2221102322320 = 245717892217023
BaseRepresentation
bin100000010100100100000…
…000111101001010010000
321212100001102212120122211
4200110210000331022100
5242342304143303240
64420205455041504
7316316662143460
oct40244400751220
97770042776584
102221102322320
11786a673a2092
122ba56a810294
131315ab742bab
14797053dbba0
153cb98d61bea
hex2052403d290

2221102322320 has 80 divisors (see below), whose sum is σ = 5905087764480. Its totient is φ = 761094784512.

The previous prime is 2221102322291. The next prime is 2221102322339. The reversal of 2221102322320 is 232232011222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2221102322291 and 2221102322300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106672 + ... + 2110351.

It is an arithmetic number, because the mean of its divisors is an integer number (73813597056).

Almost surely, 22221102322320 is an apocalyptic number.

2221102322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221102322320 is an abundant number, since it is smaller than the sum of its proper divisors (3683985442160).

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

2221102322320 is a wasteful number, since it uses less digits than its factorization.

2221102322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218832 (or 2218826 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2221102322320 its reverse (232232011222), we get a palindrome (2453334333542).

The spelling of 2221102322320 in words is "two trillion, two hundred twenty-one billion, one hundred two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1789 3578 7156 8945 12523 14312 17890 25046 28624 35780 50092 62615 71560 100184 125230 143120 200368 250460 500920 1001840 2217023 4434046 8868092 11085115 15519161 17736184 22170230 31038322 35472368 44340460 62076644 77595805 88680920 124153288 155191610 177361840 248306576 310383220 620766440 1241532880 3966254147 7932508294 15865016588 19831270735 27763779029 31730033176 39662541470 55527558058 63460066352 79325082940 111055116116 138818895145 158650165880 222110232232 277637790290 317300331760 444220464464 555275580580 1110551161160 2221102322320