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10510133225 = 521014339613
BaseRepresentation
bin10011100100111001…
…11110011111101001
31000010110200002100112
421302130332133221
5133011043230400
64454524344105
7521310441554
oct116234763751
930113602315
1010510133225
114503772719
1220539a5035
13cb65ac957
14719bd569b
15417a78835
hex27273e7e9

10510133225 has 24 divisors (see below), whose sum is σ = 13193369112. Its totient is φ = 8304768000.

The previous prime is 10510133197. The next prime is 10510133297. The reversal of 10510133225 is 52233101501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 107765161 + 10402368064 = 10381^2 + 101992^2 .

It is a de Polignac number, because none of the positive numbers 2k-10510133225 is a prime.

It is a super-2 number, since 2×105101332252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10510133225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088519 + ... + 1098131.

It is an arithmetic number, because the mean of its divisors is an integer number (549723713).

Almost surely, 210510133225 is an apocalyptic number.

It is an amenable number.

10510133225 is a deficient number, since it is larger than the sum of its proper divisors (2683235887).

10510133225 is a wasteful number, since it uses less digits than its factorization.

10510133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 10510133225 its reverse (52233101501), we get a palindrome (62743234726).

The spelling of 10510133225 in words is "ten billion, five hundred ten million, one hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 101 433 505 2165 2525 9613 10825 43733 48065 218665 240325 970913 1093325 4162429 4854565 20812145 24272825 104060725 420405329 2102026645 10510133225