Search a number
-
+
110300322000000 = 27356116127397
BaseRepresentation
bin11001000101000101001011…
…100000101110110010000000
3112110112121102002101002211010
4121011011023200232302000
5103424130024413000000
61030331133550320520
732142635542430556
oct3105051340566200
9473477362332733
10110300322000000
11321661162778a0
1210454b367b9140
134971377a316c2
141d347c7b41bd6
15cb42702c8d50
hex64514b82ec80

110300322000000 has 896 divisors, whose sum is σ = 406084533301440. Its totient is φ = 26300160000000.

The previous prime is 110300321999993. The next prime is 110300322000047. The reversal of 110300322000000 is 223003011.

It is a happy number.

It is a super-2 number, since 2×1103003220000002 (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 self number, because there is not a number n which added to its sum of digits gives 110300322000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4025986302 + ... + 4026013698.

Almost surely, 2110300322000000 is an apocalyptic number.

110300322000000 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 110300322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203042266650720).

110300322000000 is an abundant number, since it is smaller than the sum of its proper divisors (295784211301440).

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

110300322000000 is an frugal number, since it uses more digits than its factorization.

110300322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27516 (or 27479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 110300322000000 its reverse (223003011), we get a palindrome (110300545003011).

It can be divided in two parts, 1103003 and 22000000, that added together give a triangular number (23103003 = T6797).

The spelling of 110300322000000 in words is "one hundred ten trillion, three hundred billion, three hundred twenty-two million", and thus it is an aban number.