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1012211125 = 5361132749
BaseRepresentation
bin111100010101010…
…001110110110101
32121112122122121221
4330111101312311
54033111224000
6244235110341
734040436562
oct7425216665
92545578557
101012211125
1147a404222
12242ba23b1
131319242c3
1498609869
155dce461a
hex3c551db5

1012211125 has 16 divisors (see below), whose sum is σ = 1283958000. Its totient is φ = 796488000.

The previous prime is 1012211107. The next prime is 1012211131. The reversal of 1012211125 is 5211122101.

It can be written as a sum of positive squares in 8 ways, for example, as 462121009 + 550090116 = 21497^2 + 23454^2 .

It is a de Polignac number, because none of the positive numbers 2k-1012211125 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012211099 and 1012211108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 58750 + ... + 73999.

It is an arithmetic number, because the mean of its divisors is an integer number (80247375).

Almost surely, 21012211125 is an apocalyptic number.

It is an amenable number.

1012211125 is a deficient number, since it is larger than the sum of its proper divisors (271746875).

1012211125 is an equidigital number, since it uses as much as digits as its factorization.

1012211125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132825 (or 132815 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1012211125 is about 31815.2655968797. The cubic root of 1012211125 is about 1004.0539185368.

Adding to 1012211125 its reverse (5211122101), we get a palindrome (6223333226).

The spelling of 1012211125 in words is "one billion, twelve million, two hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 1525 7625 132749 663745 3318725 8097689 16593625 40488445 202442225 1012211125