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1120303125 = 325561653
BaseRepresentation
bin100001011000110…
…0111100000010101
32220002001021222100
41002301213200111
54243244200000
6303055552313
736522263604
oct10261474025
92802037870
101120303125
11525422357
1227322b699
1314b13c076
14a8b05a3b
1568546a00
hex42c67815

1120303125 has 72 divisors (see below), whose sum is σ = 2058946344. Its totient is φ = 586800000.

The previous prime is 1120303117. The next prime is 1120303127. The reversal of 1120303125 is 5213030211.

It can be written as a sum of positive squares in 12 ways, for example, as 946300644 + 174002481 = 30762^2 + 13191^2 .

It is not a de Polignac number, because 1120303125 - 23 = 1120303117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1120303098 and 1120303107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120303127) 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 71 ways as a sum of consecutive naturals, for example, 1715299 + ... + 1715951.

It is an arithmetic number, because the mean of its divisors is an integer number (28596477).

Almost surely, 21120303125 is an apocalyptic number.

1120303125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1120303125 is a deficient number, since it is larger than the sum of its proper divisors (938643219).

1120303125 is an frugal number, since it uses more digits than its factorization.

1120303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1120303125 is about 33470.9295508804. The cubic root of 1120303125 is about 1038.5925008939.

Adding to 1120303125 its reverse (5213030211), we get a palindrome (6333333336).

The spelling of 1120303125 in words is "one billion, one hundred twenty million, three hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 183 225 305 375 549 625 653 915 1125 1525 1875 1959 2745 3125 3265 4575 5625 5877 7625 9375 9795 13725 16325 22875 28125 29385 38125 39833 48975 68625 81625 114375 119499 146925 190625 199165 244875 343125 358497 408125 571875 597495 734625 995825 1224375 1715625 1792485 2040625 2987475 3673125 4979125 6121875 8962425 14937375 18365625 24895625 44812125 74686875 124478125 224060625 373434375 1120303125