Search a number
-
+
1120210120 = 23553528401
BaseRepresentation
bin100001011000101…
…0000110011001000
32220001212120101201
41002301100303020
54243233210440
6303053553544
736521425501
oct10261206310
92801776351
101120210120
11525369497
122731a58b4
1314b108933
14a8abdba8
156852919a
hex42c50cc8

1120210120 has 32 divisors (see below), whose sum is σ = 2568033720. Its totient is φ = 439628800.

The previous prime is 1120210111. The next prime is 1120210127. The reversal of 1120210120 is 210120211.

It can be written as a sum of positive squares in 4 ways, for example, as 1117832356 + 2377764 = 33434^2 + 1542^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1120210097 and 1120210106.

It is not an unprimeable number, because it can be changed into a prime (1120210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262081 + ... + 266320.

Almost surely, 21120210120 is an apocalyptic number.

1120210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120210120 is an abundant number, since it is smaller than the sum of its proper divisors (1447823600).

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

1120210120 is a wasteful number, since it uses less digits than its factorization.

1120210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528465 (or 528461 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1120210120 is about 33469.5401820820. The cubic root of 1120210120 is about 1038.5637595749.

Adding to 1120210120 its reverse (210120211), we get a palindrome (1330330331).

The spelling of 1120210120 in words is "one billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 528401 1056802 2113604 2642005 4227208 5284010 10568020 21136040 28005253 56010506 112021012 140026265 224042024 280052530 560105060 1120210120