Search a number
-
+
110000102220012 = 223173798317898287
BaseRepresentation
bin11001000000101101100101…
…000001001010000011101100
3112102110220111020220002121110
4121000231211001022003230
5103404220202132020022
61025541203242432020
732112150035416224
oct3100554501120354
9472426436802543
10110000102220012
113205a866008644
121040690b802610
13494bc71511584
141d2406774d084
15cab54d6a500c
hex640b6504a0ec

110000102220012 has 192 divisors, whose sum is σ = 279583800975360. Its totient is φ = 33520184930304.

The previous prime is 110000102219993. The next prime is 110000102220013. The reversal of 110000102220012 is 210022201000011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110000102220012.

It is not an unprimeable number, because it can be changed into a prime (110000102220013) 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, 13273810533 + ... + 13273818819.

It is an arithmetic number, because the mean of its divisors is an integer number (1456165630080).

Almost surely, 2110000102220012 is an apocalyptic number.

110000102220012 is a gapful number since it is divisible by the number (12) 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 110000102220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139791900487680).

110000102220012 is an abundant number, since it is smaller than the sum of its proper divisors (169583698755348).

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

110000102220012 is a wasteful number, since it uses less digits than its factorization.

110000102220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110000102220012 its reverse (210022201000011), we get a palindrome (320022303220023).

The spelling of 110000102220012 in words is "one hundred ten trillion, one hundred two million, two hundred twenty thousand, twelve".