Search a number
-
+
1120210211120 = 2457211136313167
BaseRepresentation
bin10000010011010001101…
…110110101000100110000
310222002110101010212102112
4100103101232311010300
5121323142303223440
62214341212304452
7143634565454600
oct20232156650460
93862411125375
101120210211120
113a2095507810
12161130172128
1381834ba3b90
143c30b66cc00
151e214de1965
hex104d1bb5130

1120210211120 has 480 divisors, whose sum is σ = 3566147751936. Its totient is φ = 321685862400.

The previous prime is 1120210211119. The next prime is 1120210211143. The reversal of 1120210211120 is 211120120211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1120210211095 and 1120210211104.

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 95 ways as a sum of consecutive naturals, for example, 353711777 + ... + 353714943.

Almost surely, 21120210211120 is an apocalyptic number.

1120210211120 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 1120210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783073875968).

1120210211120 is an abundant number, since it is smaller than the sum of its proper divisors (2445937540816).

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

1120210211120 is a wasteful number, since it uses less digits than its factorization.

1120210211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120210211120 its reverse (211120120211), we get a palindrome (1331330331331).

Subtracting from 1120210211120 its reverse (211120120211), we obtain a palindrome (909090090909).

The spelling of 1120210211120 in words is "one trillion, one hundred twenty billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".