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2201321322312 = 233761257835817
BaseRepresentation
bin100000000010001000111…
…110011011011101001000
321210102222212102122220220
4200002020332123131020
5242031301224303222
64403134551350040
7315016536336510
oct40021076333510
97712885378826
102201321322312
11779636552aa2
122b676a082320
1312c778545768
147878a242840
153c3dc454b5c
hex20088f9b748

2201321322312 has 128 divisors (see below), whose sum is σ = 6417477469440. Its totient is φ = 616230420480.

The previous prime is 2201321322271. The next prime is 2201321322377. The reversal of 2201321322312 is 2132231231022.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2215828 + ... + 3051644.

It is an arithmetic number, because the mean of its divisors is an integer number (50136542730).

Almost surely, 22201321322312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201321322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208738734720).

2201321322312 is an abundant number, since it is smaller than the sum of its proper divisors (4216156147128).

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

2201321322312 is a wasteful number, since it uses less digits than its factorization.

2201321322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836151 (or 836147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2201321322312 its reverse (2132231231022), we get a palindrome (4333552553334).

The spelling of 2201321322312 in words is "two trillion, two hundred one billion, three hundred twenty-one million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 257 366 427 488 514 732 771 854 1028 1281 1464 1542 1708 1799 2056 2562 3084 3416 3598 5124 5397 6168 7196 10248 10794 14392 15677 21588 31354 43176 47031 62708 94062 109739 125416 188124 219478 329217 376248 438956 658434 835817 877912 1316868 1671634 2507451 2633736 3343268 5014902 5850719 6686536 10029804 11701438 17552157 20059608 23402876 35104314 46805752 50984837 70208628 101969674 140417256 152954511 203939348 214804969 305909022 356893859 407878696 429609938 611818044 644414907 713787718 859219876 1070681577 1223636088 1288829814 1427575436 1503634783 1718439752 2141363154 2577659628 2855150872 3007269566 4282726308 4510904349 5155319256 6014539132 8565452616 9021808698 12029078264 13103103109 18043617396 26206206218 36087234792 39309309327 52412412436 78618618654 91721721763 104824824872 157237237308 183443443526 275165165289 314474474616 366886887052 550330330578 733773774104 1100660661156 2201321322312