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1121224420 = 2251134091213
BaseRepresentation
bin100001011010100…
…1000011011100100
32220010210002202101
41002311020123210
54244013140140
6303131421444
736533151601
oct10265103344
92803702671
101121224420
115259a1558
122735b4884
1314b3a2504
14a8ca56a8
156867999a
hex42d486e4

1121224420 has 48 divisors (see below), whose sum is σ = 2383179120. Its totient is φ = 443068416.

The previous prime is 1121224397. The next prime is 1121224427. The reversal of 1121224420 is 244221211.

It can be written as a sum of positive squares in 8 ways, for example, as 207129664 + 914094756 = 14392^2 + 30234^2 .

It is not an unprimeable number, because it can be changed into a prime (1121224427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923734 + ... + 924946.

It is an arithmetic number, because the mean of its divisors is an integer number (49649565).

Almost surely, 21121224420 is an apocalyptic number.

1121224420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121224420 is an abundant number, since it is smaller than the sum of its proper divisors (1261954700).

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

1121224420 is a wasteful number, since it uses less digits than its factorization.

1121224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1121224420 is about 33484.6893370687. The cubic root of 1121224420 is about 1038.8771226432.

Adding to 1121224420 its reverse (244221211), we get a palindrome (1365445631).

The spelling of 1121224420 in words is "one billion, one hundred twenty-one million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 409 452 565 818 1130 1213 1636 2045 2260 2426 4090 4852 6065 8180 12130 24260 46217 92434 137069 184868 231085 274138 462170 496117 548276 685345 924340 992234 1370690 1984468 2480585 2741380 4961170 9922340 56061221 112122442 224244884 280306105 560612210 1121224420