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211200022122122 = 21121723019817869
BaseRepresentation
bin110000000001010111010110…
…010010111000111010001010
31000200210112011200012100020002
4300001113112102320322022
5210140300121130401442
62025103541205203002
762325461301503135
oct6001272622707212
91020715150170202
10211200022122122
1161327476573100
121b82bb90100462
1390b00cc4793c7
143a221c819921c
151963be5adc732
hexc015d64b8e8a

211200022122122 has 36 divisors (see below), whose sum is σ = 369906550349910. Its totient is φ = 90352950610560.

The previous prime is 211200022122097. The next prime is 211200022122149. The reversal of 211200022122122 is 221221220002112.

It can be written as a sum of positive squares in 3 ways, for example, as 207432265495081 + 3767756627041 = 14402509^2 + 1941071^2 .

It is a super-4 number, since 4×2112000221221224 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200022122094 and 211200022122103.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1509838997 + ... + 1509978872.

Almost surely, 2211200022122122 is an apocalyptic number.

211200022122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211200022122122 is a deficient number, since it is larger than the sum of its proper divisors (158706528227788).

211200022122122 is a wasteful number, since it uses less digits than its factorization.

211200022122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019817927 (or 3019817899 counting only the distinct ones).

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

Adding to 211200022122122 its reverse (221221220002112), we get a palindrome (432421242124234).

The spelling of 211200022122122 in words is "two hundred eleven trillion, two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 121 187 242 289 374 578 2057 3179 4114 6358 34969 69938 3019817869 6039635738 33217996559 51336903773 66435993118 102673807546 365397962149 564705941503 730795924298 872727364141 1129411883006 1745454728282 6211765356533 9600001005551 12423530713066 19200002011102 105600011061061 211200022122122