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221102220212120 = 235133645111664881
BaseRepresentation
bin110010010001011101011111…
…010010110111011110011000
31001222212011110212212210102102
4302101131133102313132120
5212440014321333241440
62102124542512022532
764400052063504542
oct6221353722673630
91058764425783372
10221102220212120
11644a4a1a206625
122096b112231a48
13964ab08308360
143c85594168692
151a86599786b15
hexc9175f4b7798

221102220212120 has 64 divisors (see below), whose sum is σ = 535762431116640. Its totient is φ = 81635496192000.

The previous prime is 221102220212087. The next prime is 221102220212123. The reversal of 221102220212120 is 21212022201122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221102220212092 and 221102220212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102220212123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13122080 + ... + 24786960.

Almost surely, 2221102220212120 is an apocalyptic number.

221102220212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102220212120 is an abundant number, since it is smaller than the sum of its proper divisors (314660210904520).

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

221102220212120 is a wasteful number, since it uses less digits than its factorization.

221102220212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701356 (or 11701352 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221102220212120 its reverse (21212022201122), we get a palindrome (242314242413242).

The spelling of 221102220212120 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 36451 72902 145804 182255 291608 364510 473863 729020 947726 1458040 1895452 2369315 3790904 4738630 9477260 11664881 18954520 23329762 46659524 58324405 93319048 116648810 151643453 233297620 303286906 466595240 606573812 758217265 1213147624 1516434530 3032869060 6065738120 425196577331 850393154662 1700786309324 2125982886655 3401572618648 4251965773310 5527555505303 8503931546620 11055111010606 17007863093240 22110222021212 27637777526515 44220444042424 55275555053030 110551110106060 221102220212120