Search a number
-
+
1120213110000 = 24354371009201
BaseRepresentation
bin10000010011010001111…
…001111000110011110000
310222002110120121010221110
4100103101321320303300
5121323144024010000
62214341354353320
7143634632220255
oct20232171706360
93862416533843
101120213110000
113a2097107786
1216113112b840
138183567a4aa
143c30bbc542c
151e2152b5850
hex104d1e78cf0

1120213110000 has 200 divisors, whose sum is σ = 3713936022544. Its totient is φ = 290649600000.

The previous prime is 1120213109989. The next prime is 1120213110001. The reversal of 1120213110000 is 113120211.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120213110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 605400 + ... + 1614600.

Almost surely, 21120213110000 is an apocalyptic number.

1120213110000 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 1120213110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856968011272).

1120213110000 is an abundant number, since it is smaller than the sum of its proper divisors (2593722912544).

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

1120213110000 is a wasteful number, since it uses less digits than its factorization.

1120213110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009269 (or 1009248 counting only the distinct ones).

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

Adding to 1120213110000 its reverse (113120211), we get a palindrome (1120326230211).

The spelling of 1120213110000 in words is "one trillion, one hundred twenty billion, two hundred thirteen million, one hundred ten thousand".