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211221011122121 = 71113892370898889
BaseRepresentation
bin110000000001101010111001…
…010101100100011111001001
31000200212112100102201000102102
4300001222321111210133021
5210141121112321401441
62025121332024243145
762330133363165020
oct6001527125443711
91020775312630372
10211221011122121
11613353672924a0
121b8340693104b5
1390b2095a0c430
143a232199678b7
1519645235b569b
hexc01ab95647c9

211221011122121 has 32 divisors (see below), whose sum is σ = 286783929734400. Its totient is φ = 150220153543680.

The previous prime is 211221011122081. The next prime is 211221011122139. The reversal of 211221011122121 is 121221110122112.

It is a happy number.

It is not a de Polignac number, because 211221011122121 - 218 = 211221010859977 is a prime.

It is a super-2 number, since 2×2112210111221212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221011122093 and 211221011122102.

It is not an unprimeable number, because it can be changed into a prime (211221011122151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185360356 + ... + 1185538533.

It is an arithmetic number, because the mean of its divisors is an integer number (8961997804200).

Almost surely, 2211221011122121 is an apocalyptic number.

It is an amenable number.

211221011122121 is a deficient number, since it is larger than the sum of its proper divisors (75562918612279).

211221011122121 is a wasteful number, since it uses less digits than its factorization.

211221011122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370899009.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211221011122121 its reverse (121221110122112), we get a palindrome (332442121244233).

It can be divided in two parts, 21122101 and 1122121, that added together give a palindrome (22244222).

The spelling of 211221011122121 in words is "two hundred eleven trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 89 91 143 623 979 1001 1157 6853 8099 12727 89089 2370898889 16596292223 26079887779 30821685557 182559214453 211010001121 215751798899 339038541127 1477070007847 2321110012331 2373269787889 2743130014573 16247770086317 19201910102011 30174430160303 211221011122121