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10004040041225 = 521153347061233
BaseRepresentation
bin1001000110010011111101…
…0000001100001100001001
31022102101011202021121111212
42101210333100030030021
52302401233222304400
633135443105102505
72051524303210166
oct221447720141411
938371152247455
1010004040041225
11320776488686a
121156a24927a35
135774b9159469
142682ab90706d
15125364977335
hex9193f40c309

10004040041225 has 12 divisors (see below), whose sum is σ = 12415768585116. Its totient is φ = 7996290785280.

The previous prime is 10004040041213. The next prime is 10004040041227. The reversal of 10004040041225 is 52214004040001.

It can be written as a sum of positive squares in 6 ways, for example, as 812689629049 + 9191350412176 = 901493^2 + 3031724^2 .

It is not a de Polignac number, because 10004040041225 - 212 = 10004040037129 is a prime.

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 10004040041225.

It is not an unprimeable number, because it can be changed into a prime (10004040041227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173501792 + ... + 173559441.

It is an arithmetic number, because the mean of its divisors is an integer number (1034647382093).

Almost surely, 210004040041225 is an apocalyptic number.

It is an amenable number.

10004040041225 is a deficient number, since it is larger than the sum of its proper divisors (2411728543891).

10004040041225 is a wasteful number, since it uses less digits than its factorization.

10004040041225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347062396 (or 347062391 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10004040041225 its reverse (52214004040001), we get a palindrome (62218044081226).

The spelling of 10004040041225 in words is "ten trillion, four billion, forty million, forty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 1153 5765 28825 347061233 1735306165 8676530825 400161601649 2000808008245 10004040041225