Search a number
-
+
1120112020200 = 2335297181106331
BaseRepresentation
bin10000010011001011111…
…000010000101011101000
310222002012112101020210210
4100103023320100223220
5121322442134121300
62214323343541120
7143632264035645
oct20231370205350
93862175336723
101120112020200
113a2045041498
121611032ba7a0
138181a744944
143c2dc5ccdcc
151e20b498050
hex104cbe10ae8

1120112020200 has 192 divisors, whose sum is σ = 3527559846720. Its totient is φ = 293981184000.

The previous prime is 1120112020189. The next prime is 1120112020231. The reversal of 1120112020200 is 20202110211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10481035 + ... + 10587365.

It is an arithmetic number, because the mean of its divisors is an integer number (18372707535).

Almost surely, 21120112020200 is an apocalyptic number.

1120112020200 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 1120112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763779923360).

1120112020200 is an abundant number, since it is smaller than the sum of its proper divisors (2407447826520).

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

1120112020200 is a wasteful number, since it uses less digits than its factorization.

1120112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106628 (or 106619 counting only the distinct ones).

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

Adding to 1120112020200 its reverse (20202110211), we get a palindrome (1140314130411).

The spelling of 1120112020200 in words is "one trillion, one hundred twenty billion, one hundred twelve million, twenty thousand, two hundred".