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11211033424401 = 334391958348299
BaseRepresentation
bin1010001100100100010110…
…1010100011001000010001
31110200202122012021101201000
42203021011222203020101
52432140144024040101
635502135550132213
72234653600533366
oct243110552431021
943622565241630
1011211033424401
113632633108178
1213109344b1069
13634271571405
142aa88cb4846d
151469585c1486
hexa3245aa3211

11211033424401 has 32 divisors (see below), whose sum is σ = 16647966720000. Its totient is φ = 7456462001424.

The previous prime is 11211033424361. The next prime is 11211033424433. The reversal of 11211033424401 is 10442433011211.

It is a happy number.

11211033424401 is a `hidden beast` number, since 1 + 1 + 211 + 0 + 3 + 3 + 4 + 2 + 440 + 1 = 666.

It is not a de Polignac number, because 11211033424401 - 211 = 11211033422353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11211033424501) 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, 232093150 + ... + 232141448.

It is an arithmetic number, because the mean of its divisors is an integer number (520248960000).

Almost surely, 211211033424401 is an apocalyptic number.

It is an amenable number.

11211033424401 is a deficient number, since it is larger than the sum of its proper divisors (5436933295599).

11211033424401 is a wasteful number, since it uses less digits than its factorization.

11211033424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68330 (or 68324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11211033424401 its reverse (10442433011211), we get a palindrome (21653466435612).

The spelling of 11211033424401 in words is "eleven trillion, two hundred eleven billion, thirty-three million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 27 439 1317 3951 11853 19583 48299 58749 144897 176247 434691 528741 1304073 8596937 21203261 25790811 63609783 77372433 190829349 232117299 572488047 945839317 2837517951 8512553853 25537661559 415223460163 1245670380489 3737011141467 11211033424401