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221003031221312 = 2617211948693297
BaseRepresentation
bin110010010000000001000111…
…001010111001010001000000
31001222111200110020021222122012
4302100001013022321101000
5212431403201443040222
62102011220235432052
764356641065134404
oct6220010712712100
91058450406258565
10221003031221312
116446694a65075a
1220953a4bbb5628
13964165b834812
143c80864adb104
151a83be184b1e2
hexc900472b9440

221003031221312 has 42 divisors (see below), whose sum is σ = 465867602995722. Its totient is φ = 104001426448384.

The previous prime is 221003031221311. The next prime is 221003031221321. The reversal of 221003031221312 is 213122130300122.

It can be written as a sum of positive squares in 3 ways, for example, as 46480542416896 + 174522488804416 = 6817664^2 + 13210696^2 .

It is not an unprimeable number, because it can be changed into a prime (221003031221311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5974328153 + ... + 5974365144.

Almost surely, 2221003031221312 is an apocalyptic number.

It is an amenable number.

221003031221312 is an abundant number, since it is smaller than the sum of its proper divisors (244864571774410).

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

221003031221312 is a wasteful number, since it uses less digits than its factorization.

221003031221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948693343 (or 11948693316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 221003031221312 its reverse (213122130300122), we get a palindrome (434125161521434).

The spelling of 221003031221312 in words is "two hundred twenty-one trillion, three billion, thirty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 11948693297 23897386594 47794773188 95589546376 191179092752 203127786049 382358185504 406255572098 764716371008 812511144196 1625022288392 3250044576784 3453172362833 6500089153568 6906344725666 13000178307136 13812689451332 27625378902664 55250757805328 110501515610656 221003031221312