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10225033013 = 133449228049
BaseRepresentation
bin10011000010111010…
…11001111100110101
3222101121012111101102
421201131121330311
5131420102024023
64410341535445
7511246226606
oct114135317465
928347174342
1010225033013
114377845708
121b94414585
13c6c4ca9c0
146cddbddad
153eca0e628
hex261759f35

10225033013 has 8 divisors (see below), whose sum is σ = 11014815000. Its totient is φ = 9435714048.

The previous prime is 10225032977. The next prime is 10225033057. The reversal of 10225033013 is 31033052201.

It can be written as a sum of positive squares in 4 ways, for example, as 11303044 + 10213729969 = 3362^2 + 101063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10225033013 - 218 = 10224770869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225033813) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69188 + ... + 158861.

It is an arithmetic number, because the mean of its divisors is an integer number (1376851875).

Almost surely, 210225033013 is an apocalyptic number.

10225033013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10225033013 is a deficient number, since it is larger than the sum of its proper divisors (789781987).

10225033013 is a wasteful number, since it uses less digits than its factorization.

10225033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231511.

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10225033013 its reverse (31033052201), we get a palindrome (41258085214).

The spelling of 10225033013 in words is "ten billion, two hundred twenty-five million, thirty-three thousand, thirteen".

Divisors: 1 13 3449 44837 228049 2964637 786541001 10225033013