Search a number
-
+
110002111120020 = 223573156315006577
BaseRepresentation
bin11001000000101111011100…
…110000100000001010010100
3112102111002200020222210100110
4121000233130300200022110
5103404233310421320040
61025542134444243020
732112250600656450
oct3100573460401224
9472432606883313
10110002111120020
11320606a6a83989
1210407190540470
13494c2017838c2
141d241b8483660
15cab619c24980
hex640bdcc20294

110002111120020 has 192 divisors, whose sum is σ = 364007239335936. Its totient is φ = 24289043650560.

The previous prime is 110002111120003. The next prime is 110002111120021. The reversal of 110002111120020 is 20021111200011.

It is a super-2 number, since 2×1100021111200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110002111119978 and 110002111120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002111120021) 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, 173029 + ... + 14833548.

It is an arithmetic number, because the mean of its divisors is an integer number (1895871038208).

Almost surely, 2110002111120020 is an apocalyptic number.

110002111120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002111120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182003619667968).

110002111120020 is an abundant number, since it is smaller than the sum of its proper divisors (254005128215916).

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

110002111120020 is a wasteful number, since it uses less digits than its factorization.

110002111120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007190 (or 15007188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002111120020 its reverse (20021111200011), we get a palindrome (130023222320031).

The spelling of 110002111120020 in words is "one hundred ten trillion, two billion, one hundred eleven million, one hundred twenty thousand, twenty".