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211221222201 = 32113526760497
BaseRepresentation
bin1100010010110111000…
…1000001001100111001
3202012012100222211112200
43010231301001030321
511430040113102301
6241011135500413
721155154523353
oct3045561011471
9665170884480
10211221222201
118163a967560
1234b29687709
1316bc2021622
14a31a4da0d3
155763660c86
hex312dc41339

211221222201 has 24 divisors (see below), whose sum is σ = 332848380384. Its totient is φ = 128007116160.

The previous prime is 211221222169. The next prime is 211221222211. The reversal of 211221222201 is 102222122112.

It is a happy number.

211221222201 is a `hidden beast` number, since 21 + 1 + 221 + 222 + 201 = 666.

It is not a de Polignac number, because 211221222201 - 25 = 211221222169 is a prime.

It is a super-2 number, since 2×2112212222012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3461185 + ... + 3521681.

It is an arithmetic number, because the mean of its divisors is an integer number (13868682516).

Almost surely, 2211221222201 is an apocalyptic number.

It is an amenable number.

211221222201 is a deficient number, since it is larger than the sum of its proper divisors (121627158183).

211221222201 is a wasteful number, since it uses less digits than its factorization.

211221222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95781 (or 95778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211221222201 its reverse (102222122112), we get a palindrome (313443344313).

The spelling of 211221222201 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 99 35267 60497 105801 181491 317403 387937 544473 665467 1163811 1996401 3491433 5989203 2133547699 6400643097 19201929291 23469024689 70407074067 211221222201