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2201323441312 = 259715711294001
BaseRepresentation
bin100000000010001001000…
…110100000110010100000
321210110000000102022122101
4200002021012200302200
5242031302300110222
64403135105020144
7315016563343402
oct40021106406240
97713000368571
102201323441312
11779637770036
122b676a924654
1312c778b080c8
147878a634b72
153c3dc722927
hex200891a0ca0

2201323441312 has 96 divisors (see below), whose sum is σ = 4411428451920. Its totient is φ = 1081147392000.

The previous prime is 2201323441307. The next prime is 2201323441333. The reversal of 2201323441312 is 2131443231022.

It can be written as a sum of positive squares in 8 ways, for example, as 29720380816 + 2171603060496 = 172396^2 + 1473636^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550191312 + ... + 550195312.

Almost surely, 22201323441312 is an apocalyptic number.

It is an amenable number.

2201323441312 is an abundant number, since it is smaller than the sum of its proper divisors (2210105010608).

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

2201323441312 is a wasteful number, since it uses less digits than its factorization.

2201323441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2201323441312 its reverse (2131443231022), we get a palindrome (4332766672334).

The spelling of 2201323441312 in words is "two trillion, two hundred one billion, three hundred twenty-three million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 97 157 194 314 388 628 776 1129 1256 1552 2258 2512 3104 4001 4516 5024 8002 9032 15229 16004 18064 30458 32008 36128 60916 64016 109513 121832 128032 177253 219026 243664 354506 388097 438052 487328 628157 709012 776194 876104 1256314 1418024 1552388 1752208 2512628 2836048 3104776 3504416 4517129 5025256 5672096 6209552 9034258 10050512 12419104 17193541 18068516 20101024 34387082 36137032 60931229 68774164 72274064 121862458 137548328 144548128 243724916 275096656 438161513 487449832 550193312 709189253 876323026 974899664 1418378506 1752646052 1949799328 2836757012 3505292104 5673514024 7010584208 11347028048 14021168416 22694056096 68791357541 137582715082 275165430164 550330860328 1100661720656 2201323441312