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201444100011 = 33711229423121
BaseRepresentation
bin1011101110011100000…
…0010000011110101011
3201020221222121120022000
42323213000100132223
511300024142200021
6232313034102043
720360654412060
oct2734700203653
9636858546260
10201444100011
1178482a40990
123305b27a923
1315cc456b71b
149a6dbd2c67
15539012ab26
hex2ee70107ab

201444100011 has 64 divisors (see below), whose sum is σ = 373701350400. Its totient is φ = 104189068800.

The previous prime is 201444100009. The next prime is 201444100019. The reversal of 201444100011 is 110001444102.

201444100011 is a `hidden beast` number, since 201 + 44 + 410 + 0 + 0 + 11 = 666.

201444100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201444100011 - 21 = 201444100009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201444100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264531 + ... + 687651.

It is an arithmetic number, because the mean of its divisors is an integer number (5839083600).

Almost surely, 2201444100011 is an apocalyptic number.

201444100011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201444100011 is a deficient number, since it is larger than the sum of its proper divisors (172257250389).

201444100011 is a wasteful number, since it uses less digits than its factorization.

201444100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423377 (or 423371 counting only the distinct ones).

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

Adding to 201444100011 its reverse (110001444102), we get a palindrome (311445544113).

The spelling of 201444100011 in words is "two hundred one billion, four hundred forty-four million, one hundred thousand, eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 229 231 297 687 693 1603 2061 2079 2519 4809 6183 7557 14427 17633 22671 43281 52899 68013 158697 423121 476091 1269363 2961847 3808089 4654331 8885541 11424267 13962993 26656623 32580317 41888979 79969869 96894709 97740951 125666937 290684127 293222853 678262963 872052381 879668559 1065841799 2034788889 2616157143 3197525397 6104366667 7460892593 9592576191 18313100001 22382677779 28777728573 67148033337 201444100011