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1126131225 = 352127191619
BaseRepresentation
bin100001100011111…
…0110011000011001
32220111000101121220
41003013312120121
54301242144400
6303424522253
736622646262
oct10307663031
92814011556
101126131225
1152874306a
12275180389
1314c3cca4b
14a97c1969
1568ce87a0
hex431f6619

1126131225 has 48 divisors (see below), whose sum is σ = 1889402880. Its totient is φ = 591796800.

The previous prime is 1126131191. The next prime is 1126131263. The reversal of 1126131225 is 5221316211.

It is a happy number.

It is not a de Polignac number, because 1126131225 - 29 = 1126130713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1126131195 and 1126131204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1818966 + ... + 1819584.

It is an arithmetic number, because the mean of its divisors is an integer number (39362560).

Almost surely, 21126131225 is an apocalyptic number.

1126131225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1126131225 is a deficient number, since it is larger than the sum of its proper divisors (763271655).

1126131225 is a wasteful number, since it uses less digits than its factorization.

1126131225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1126131225 is about 33557.8787321249. The cubic root of 1126131225 is about 1040.3903936853.

Adding to 1126131225 its reverse (5221316211), we get a palindrome (6347447436).

It can be divided in two parts, 11261 and 31225, that added together give a triangular number (42486 = T291).

The spelling of 1126131225 in words is "one billion, one hundred twenty-six million, one hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 127 191 381 573 619 635 955 1857 1905 2865 3095 3175 4775 9285 9525 14325 15475 24257 46425 72771 78613 118229 121285 235839 354687 363855 393065 591145 606425 1179195 1773435 1819275 1965325 2955725 5895975 8867175 15015083 45045249 75075415 225226245 375377075 1126131225