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211121344101 = 3376185736383
BaseRepresentation
bin1100010010011111010…
…0000000111001100101
3202011221102001111112210
43010213310000321211
511424334031002401
6240553211034033
721152532546513
oct3044764007145
9664842044483
10211121344101
1181599549678
1234b0013b919
1316ba7421465
14a30b13b4b3
1557599d24d6
hex3127d00e65

211121344101 has 32 divisors (see below), whose sum is σ = 294193456128. Its totient is φ = 134537725440.

The previous prime is 211121344097. The next prime is 211121344103. The reversal of 211121344101 is 101443121112.

It is not a de Polignac number, because 211121344101 - 22 = 211121344097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121344103) 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 31 ways as a sum of consecutive naturals, for example, 5784556 + ... + 5820938.

It is an arithmetic number, because the mean of its divisors is an integer number (9193545504).

Almost surely, 2211121344101 is an apocalyptic number.

It is an amenable number.

211121344101 is a deficient number, since it is larger than the sum of its proper divisors (83072112027).

211121344101 is a wasteful number, since it uses less digits than its factorization.

211121344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37341.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 211121344101 its reverse (101443121112), we get a palindrome (312564465213).

The spelling of 211121344101 in words is "two hundred eleven billion, one hundred twenty-one million, three hundred forty-four thousand, one hundred one".

Divisors: 1 3 37 61 111 183 857 2257 2571 6771 31709 36383 52277 95127 109149 156831 1346171 1934249 2219363 4038513 5802747 6658089 31180231 82116431 93540693 246349293 1153668547 1901994091 3461005641 5705982273 70373781367 211121344101