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102053622413225 = 527283309079521
BaseRepresentation
bin10111001101000100110101…
…111010010111011110101001
3111101100020020102012012122102
4113031010311322113132221
5101334021304314210400
61001014441550103145
730332062620504500
oct2715046572273651
9441306212165572
10102053622413225
112a57677535774a
12b5428137aaab5
1344c37cca76ac2
141b2b5c9137837
15bbe9b017e9d5
hex5cd135e977a9

102053622413225 has 18 divisors (see below), whose sum is σ = 147207143515374. Its totient is φ = 69979626796800.

The previous prime is 102053622413201. The next prime is 102053622413293. The reversal of 102053622413225 is 522314226350201.

It can be written as a sum of positive squares in 3 ways, for example, as 11215586665024 + 90838035748201 = 3348968^2 + 9530899^2 .

It is not a de Polignac number, because 102053622413225 - 214 = 102053622396841 is a prime.

It is a super-2 number, since 2×1020536224132252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41654538536 + ... + 41654540985.

It is an arithmetic number, because the mean of its divisors is an integer number (8178174639743).

Almost surely, 2102053622413225 is an apocalyptic number.

It is an amenable number.

102053622413225 is a deficient number, since it is larger than the sum of its proper divisors (45153521102149).

102053622413225 is an equidigital number, since it uses as much as digits as its factorization.

102053622413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83309079545 (or 83309079533 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 102053622413225 its reverse (522314226350201), we get a palindrome (624367848763426).

The spelling of 102053622413225 in words is "one hundred two trillion, fifty-three billion, six hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 83309079521 416545397605 583163556647 2082726988025 2915817783235 4082144896529 14579088916175 20410724482645 102053622413225