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2202000120221 = 112229257373829
BaseRepresentation
bin100000000010110001011…
…011110101100110011101
321210111202011201011121012
4200002301123311212131
5242034144012321341
64403330200345005
7315042421124246
oct40026133654635
97714664634535
102202000120221
11779954730a00
122b6919475165
1312c856070525
147881245bccd
153c42bd3a0eb
hex200b16f599d

2202000120221 has 48 divisors (see below), whose sum is σ = 2449902932400. Its totient is φ = 1977610567680.

The previous prime is 2202000120181. The next prime is 2202000120251. The reversal of 2202000120221 is 1220210002022.

It can be written as a sum of positive squares in 8 ways, for example, as 806969839225 + 1395030280996 = 898315^2 + 1181114^2 .

It is not a de Polignac number, because 2202000120221 - 214 = 2202000103837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202000120196 and 2202000120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202000120251) 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, 2656212035 + ... + 2656212863.

It is an arithmetic number, because the mean of its divisors is an integer number (51039644425).

Almost surely, 22202000120221 is an apocalyptic number.

It is an amenable number.

2202000120221 is a deficient number, since it is larger than the sum of its proper divisors (247902812179).

2202000120221 is a wasteful number, since it uses less digits than its factorization.

2202000120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202000120221 its reverse (1220210002022), we get a palindrome (3422210122243).

The spelling of 2202000120221 in words is "two trillion, two hundred two billion, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 121 229 257 373 829 2519 2827 4103 9119 27709 31097 45133 58853 85417 95861 100309 189841 213053 309217 647383 939587 1054471 2088251 2343583 3401387 7121213 10335457 11599181 21952169 22970761 25779413 37415257 48789137 70810693 79468769 241473859 536680507 778917623 874156459 2656212449 5903485577 8568093853 9615721049 18198348101 200181829111 2202000120221