Search a number
-
+
110020112122100 = 22521764717713013
BaseRepresentation
bin11001000001000000001101…
…101100111000000011110100
3112102112211010210001102222012
4121001000031230320003310
5103410032142200401400
61025554313004223352
732113455640654205
oct3101001554700364
9472484123042865
10110020112122100
11320682a4090204
121040a774b3ab58
134950b0cc7531b
141d250050915ac
15cabd20229d35
hex64100db380f4

110020112122100 has 36 divisors (see below), whose sum is σ = 252787387032684. Its totient is φ = 41419336327680.

The previous prime is 110020112122093. The next prime is 110020112122103. The reversal of 110020112122100 is 1221211020011.

It can be written as a sum of positive squares in 6 ways, for example, as 7198768034704 + 102821344087396 = 2683052^2 + 10140086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020112122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32358854807 + ... + 32358858206.

It is an arithmetic number, because the mean of its divisors is an integer number (7021871862019).

Almost surely, 2110020112122100 is an apocalyptic number.

110020112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020112122100 is an abundant number, since it is smaller than the sum of its proper divisors (142767274910584).

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

110020112122100 is a wasteful number, since it uses less digits than its factorization.

110020112122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64717713044 (or 64717713037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110020112122100 its reverse (1221211020011), we get a palindrome (111241323142111).

The spelling of 110020112122100 in words is "one hundred ten trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 64717713013 129435426026 258870852052 323588565065 647177130130 1100201121221 1294354260260 1617942825325 2200402242442 3235885650650 4400804484884 5501005606105 6471771301300 11002011212210 22004022424420 27505028030525 55010056061050 110020112122100