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221442202244123 = 72231273931393577
BaseRepresentation
bin110010010110011010000111…
…110011011001010000011011
31002001001200000211001111012122
4302112122013303121100123
5213011102112233302443
62102545050542531455
764433446130214200
oct6226320763312033
91061050024044178
10221442202244123
11646161241a9283
1220a04b95596b8b
139673baa567c63
143c97c0731bca7
151a9034707d968
hexc96687cd941b

221442202244123 has 48 divisors (see below), whose sum is σ = 270981966864384. Its totient is φ = 180079250440320.

The previous prime is 221442202244117. The next prime is 221442202244177. The reversal of 221442202244123 is 321442202244122.

It is a happy number.

221442202244123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221442202244123 - 220 = 221442201195547 is a prime.

It is a super-3 number, since 3×2214422022441233 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221442202244323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562443311 + ... + 562836887.

It is an arithmetic number, because the mean of its divisors is an integer number (5645457643008).

Almost surely, 2221442202244123 is an apocalyptic number.

221442202244123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221442202244123 is a deficient number, since it is larger than the sum of its proper divisors (49539764620261).

221442202244123 is a wasteful number, since it uses less digits than its factorization.

221442202244123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397672 (or 397665 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 221442202244123 its reverse (321442202244122), we get a palindrome (542884404488245).

Subtracting 221442202244123 from its reverse (321442202244122), we obtain a palindrome (99999999999999).

The spelling of 221442202244123 in words is "two hundred twenty-one trillion, four hundred forty-two billion, two hundred two million, two hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 7 23 49 127 161 889 1127 2921 3931 6223 20447 27517 90413 143129 192619 393577 499237 632891 2755039 3494659 4430237 9052271 11482451 19285273 24462613 49984279 63365897 80377157 349889953 443561279 562640099 1149638417 1547151187 2449229671 8047468919 10830058309 35584477301 56332282433 75810408163 196488200749 249091341107 1375417405243 1743639387749 4519228617227 9627921836701 31634600320589 221442202244123