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1130210442225 = 325253731298309
BaseRepresentation
bin10000011100100101110…
…010101011101111110001
311000001021022100020120100
4100130211302223233301
5122004132333122400
62223113404103013
7144440445151404
oct20344562535761
94001238306510
101130210442225
113a635736a417
12163061234a69
13827699425a7
143c9b9851d3b
151e5ecce8100
hex10725cabbf1

1130210442225 has 72 divisors (see below), whose sum is σ = 2090782844280. Its totient is φ = 583303818240.

The previous prime is 1130210442211. The next prime is 1130210442287. The reversal of 1130210442225 is 5222440120311.

1130210442225 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 210 + 4 + 422 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 63879529536 + 1066330912689 = 252744^2 + 1032633^2 .

It is not a de Polignac number, because 1130210442225 - 26 = 1130210442161 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221371 + ... + 1519679.

It is an arithmetic number, because the mean of its divisors is an integer number (29038650615).

Almost surely, 21130210442225 is an apocalyptic number.

1130210442225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1130210442225 is a deficient number, since it is larger than the sum of its proper divisors (960572402055).

1130210442225 is a wasteful number, since it uses less digits than its factorization.

1130210442225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298451 (or 1298443 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1130210442225 its reverse (5222440120311), we get a palindrome (6352650562536).

The spelling of 1130210442225 in words is "one trillion, one hundred thirty billion, two hundred ten million, four hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 73 75 159 219 225 265 365 477 657 795 1095 1325 1825 2385 3285 3869 3975 5475 11607 11925 16425 19345 34821 58035 96725 174105 290175 870525 1298309 3894927 6491545 11684781 19474635 32457725 58423905 68810377 94776557 97373175 206431131 284329671 292119525 344051885 473882785 619293393 852989013 1032155655 1421648355 1720259425 2369413925 3096466965 4264945065 5023157521 5160778275 7108241775 15069472563 15482334825 21324725325 25115787605 45208417689 75347362815 125578938025 226042088445 376736814075 1130210442225