Search a number
-
+
110201330312120 = 23537188939417871
BaseRepresentation
bin11001000011101000111111…
…001001011010001110111000
3112110012010220012001022202202
4121003220333021122032320
5103421014311024441440
61030213443043045332
732132532461112545
oct3103507711321670
9473163805038682
10110201330312120
11321281380225a3
121043990a670848
134964c300ac668
141d2dab6993bcc
15cb18c9863615
hex643a3f25a3b8

110201330312120 has 64 divisors (see below), whose sum is σ = 254789241033600. Its totient is φ = 42866460610560.

The previous prime is 110201330312081. The next prime is 110201330312149. The reversal of 110201330312120 is 21213033102011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110201330312092 and 110201330312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16913216 + ... + 22504655.

It is an arithmetic number, because the mean of its divisors is an integer number (3981081891150).

Almost surely, 2110201330312120 is an apocalyptic number.

110201330312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201330312120 is an abundant number, since it is smaller than the sum of its proper divisors (144587910721480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110201330312120 is a wasteful number, since it uses less digits than its factorization.

110201330312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39419808 (or 39419804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110201330312120 its reverse (21213033102011), we get a palindrome (131414363414131).

The spelling of 110201330312120 in words is "one hundred ten trillion, two hundred one billion, three hundred thirty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1889 3778 7556 9445 15112 18890 37780 69893 75560 139786 279572 349465 559144 698930 1397860 2795720 39417871 78835742 157671484 197089355 315342968 394178710 788357420 1458461227 1576714840 2916922454 5833844908 7292306135 11667689816 14584612270 29169224540 58338449080 74460358319 148920716638 297841433276 372301791595 595682866552 744603583190 1489207166380 2755033257803 2978414332760 5510066515606 11020133031212 13775166289015 22040266062424 27550332578030 55100665156060 110201330312120