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44112022101 = 32721133472551
BaseRepresentation
bin101001000101010010…
…000000101001010101
311012212020112220101100
4221011102000221111
51210320134201401
632133105420313
73121065000300
oct510522005125
9135766486340
1044112022101
11177870a5114
12867103a699
13420cc66834
1421c6761b37
1512329d8b86
hexa45480a55

44112022101 has 72 divisors (see below), whose sum is σ = 75021021504. Its totient is φ = 24902035200.

The previous prime is 44112021997. The next prime is 44112022117. The reversal of 44112022101 is 10122021144.

44112022101 is a `hidden beast` number, since 441 + 1 + 2 + 0 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 44112022101 - 218 = 44111759957 is a prime.

It is a super-2 number, since 2×441120221012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44112021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17290776 + ... + 17293326.

It is an arithmetic number, because the mean of its divisors is an integer number (1041958632).

Almost surely, 244112022101 is an apocalyptic number.

It is an amenable number.

44112022101 is a deficient number, since it is larger than the sum of its proper divisors (30908999403).

44112022101 is a wasteful number, since it uses less digits than its factorization.

44112022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3021 counting only the distinct ones).

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

Adding to 44112022101 its reverse (10122021144), we get a palindrome (54234043245).

The spelling of 44112022101 in words is "forty-four billion, one hundred twelve million, twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 113 147 339 347 441 791 1017 1041 2373 2429 2551 3123 5537 7119 7287 7653 16611 17003 17857 21861 22959 39211 49833 51009 53571 117633 124999 153027 160713 274477 288263 352899 374997 823431 864789 885197 1124991 1921339 2017841 2470293 2594367 2655591 5764017 6053523 6196379 7966773 14124887 17292051 18160569 18589137 42374661 43374653 55767411 100027261 127123983 130123959 300081783 390371877 700190827 900245349 2100572481 4901335789 6301717443 14704007367 44112022101