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211221211022201 = 17389115327701909
BaseRepresentation
bin110000000001101011000101…
…010000001000001101111001
31000200212112212100211222210002
4300001223011100020031321
5210141122020010202301
62025121403525002345
762330141341255052
oct6001530520101571
91020775770758702
10211221211022201
116133545a107376
121b8341042533b5
1390b20c82600c3
143a23238321729
151964535e0016b
hexc01ac5408379

211221211022201 has 16 divisors (see below), whose sum is σ = 224415389062800. Its totient is φ = 198113408483328.

The previous prime is 211221211022191. The next prime is 211221211022233. The reversal of 211221211022201 is 102220112122112.

It can be written as a sum of positive squares in 8 ways, for example, as 776169810025 + 210445041212176 = 881005^2 + 14506724^2 .

It is not a de Polignac number, because 211221211022201 - 242 = 206823164511097 is a prime.

It is a super-2 number, since 2×2112212110222012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211221211022291) 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, 6226166 + ... + 21475743.

It is an arithmetic number, because the mean of its divisors is an integer number (14025961816425).

Almost surely, 2211221211022201 is an apocalyptic number.

It is an amenable number.

211221211022201 is a deficient number, since it is larger than the sum of its proper divisors (13194178040599).

211221211022201 is a wasteful number, since it uses less digits than its factorization.

211221211022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27703468.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211221211022201 its reverse (102220112122112), we get a palindrome (313441323144313).

The spelling of 211221211022201 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, twenty-two thousand, two hundred one".

Divisors: 1 17 389 1153 6613 19601 448517 7624789 27701909 470932453 10776042601 31940301077 183192724217 542985118309 12424777118953 211221211022201