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110422444131 = 3443265911923
BaseRepresentation
bin110011011010110110…
…0001100100001100011
3101120000112022100210000
41212311230030201203
53302121121203011
6122421040111043
710656241200666
oct1466554144143
9346015270700
10110422444131
114291465569a
1219498305483
13a549b9924c
1454b734b6dd
152d14241356
hex19b5b0c863

110422444131 has 40 divisors (see below), whose sum is σ = 168865780160. Its totient is φ = 71869917168.

The previous prime is 110422444117. The next prime is 110422444141. The reversal of 110422444131 is 131444224011.

110422444131 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 2 + 244 + 413 + 1 = 666.

It is not a de Polignac number, because 110422444131 - 210 = 110422443107 is a prime.

It is a super-2 number, since 2×1104224441312 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110422444095 and 110422444104.

It is not an unprimeable number, because it can be changed into a prime (110422444141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9255336 + ... + 9267258.

It is an arithmetic number, because the mean of its divisors is an integer number (4221644504).

Almost surely, 2110422444131 is an apocalyptic number.

110422444131 is a deficient number, since it is larger than the sum of its proper divisors (58443336029).

110422444131 is a wasteful number, since it uses less digits than its factorization.

110422444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110422444131 its reverse (131444224011), we get a palindrome (241866668142).

The spelling of 110422444131 in words is "one hundred ten billion, four hundred twenty-two million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 43 81 129 387 1161 2659 3483 7977 11923 23931 35769 71793 107307 114337 215379 321921 343011 512689 965763 1029033 1538067 3087099 4614201 9261297 13842603 31703257 41527809 95109771 285329313 855987939 1363240051 2567963817 4089720153 12269160459 36807481377 110422444131