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121441444101 = 332310914912041
BaseRepresentation
bin111000100011001111…
…0010110000100000101
3102121110110111120002000
41301012132112010011
53442203002202401
6131442303335513
711526301146225
oct1610636260405
9377413446060
10121441444101
114755959043a
121b6525b1599
13b5b4a16a83
145c40966085
15325b7d5186
hex1c46796105

121441444101 has 64 divisors (see below), whose sum is σ = 190745280000. Its totient is φ = 76209154560.

The previous prime is 121441444093. The next prime is 121441444151. The reversal of 121441444101 is 101444144121.

121441444101 is a `hidden beast` number, since 1 + 214 + 4 + 1 + 4 + 441 + 0 + 1 = 666.

It is not a de Polignac number, because 121441444101 - 23 = 121441444093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121441444151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10079641 + ... + 10091681.

It is an arithmetic number, because the mean of its divisors is an integer number (2980395000).

Almost surely, 2121441444101 is an apocalyptic number.

It is an amenable number.

121441444101 is a deficient number, since it is larger than the sum of its proper divisors (69303835899).

121441444101 is a wasteful number, since it uses less digits than its factorization.

121441444101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 121441444101 its reverse (101444144121), we get a palindrome (222885588222).

The spelling of 121441444101 in words is "one hundred twenty-one billion, four hundred forty-one million, four hundred forty-four thousand, one hundred one".

Divisors: 1 3 9 23 27 69 109 149 207 327 447 621 981 1341 2507 2943 3427 4023 7521 10281 12041 16241 22563 30843 36123 48723 67689 92529 108369 146169 276943 325107 373543 438507 830829 1120629 1312469 1794109 2492487 3361887 3937407 5382327 7477461 10085661 11812221 16146981 30186787 35436663 41264507 48440943 90560361 123793521 195557881 271681083 371380563 586673643 815043249 1114141689 1760020929 4497831263 5280062787 13493493789 40480481367 121441444101