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107282602225 = 5243377312821
BaseRepresentation
bin110001111101010001…
…0101001100011110001
3101020220201010212102001
41203322202221203301
53224203321232400
6121141314254001
710515364033651
oct1437242514361
9336821125361
10107282602225
1141553260a27
1218960887301
13a169531626
14529a342361
152bcd777a6a
hex18fa8a98f1

107282602225 has 24 divisors (see below), whose sum is σ = 133520563512. Its totient is φ = 85510425600.

The previous prime is 107282602187. The next prime is 107282602237. The reversal of 107282602225 is 522206282701.

It can be written as a sum of positive squares in 12 ways, for example, as 99356083264 + 7926518961 = 315208^2 + 89031^2 .

It is a de Polignac number, because none of the positive numbers 2k-107282602225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8361315 + ... + 8374135.

It is an arithmetic number, because the mean of its divisors is an integer number (5563356813).

Almost surely, 2107282602225 is an apocalyptic number.

It is an amenable number.

107282602225 is a deficient number, since it is larger than the sum of its proper divisors (26237961287).

107282602225 is a wasteful number, since it uses less digits than its factorization.

107282602225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 107282602225 its reverse (522206282701), we get a palindrome (629488884926).

The spelling of 107282602225 in words is "one hundred seven billion, two hundred eighty-two million, six hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 433 773 2165 3865 10825 12821 19325 64105 320525 334709 1673545 5551493 8367725 9910633 27757465 49553165 138787325 247765825 4291304089 21456520445 107282602225