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10527222225 = 3521313182421
BaseRepresentation
bin10011100110111100…
…01010100111010001
31000011122211022001110
421303132022213101
5133024432102400
64500334523533
7521605624662
oct116336124721
930148738043
1010527222225
114512384963
1220596665a9
13cb9cb40a0
1471c1a3369
15419301e50
hex27378a9d1

10527222225 has 48 divisors (see below), whose sum is σ = 18887166144. Its totient is φ = 5143008000.

The previous prime is 10527222217. The next prime is 10527222257. The reversal of 10527222225 is 52222272501.

It is not a de Polignac number, because 10527222225 - 23 = 10527222217 is a prime.

It is a super-2 number, since 2×105272222252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10527222192 and 10527222201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86515 + ... + 168935.

It is an arithmetic number, because the mean of its divisors is an integer number (393482628).

Almost surely, 210527222225 is an apocalyptic number.

10527222225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10527222225 is a deficient number, since it is larger than the sum of its proper divisors (8359943919).

10527222225 is a wasteful number, since it uses less digits than its factorization.

10527222225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82578 (or 82573 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

Adding to 10527222225 its reverse (52222272501), we get a palindrome (62749494726).

The spelling of 10527222225 in words is "ten billion, five hundred twenty-seven million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 131 195 325 393 655 975 1703 1965 3275 5109 8515 9825 25545 42575 82421 127725 247263 412105 1071473 1236315 2060525 3214419 5357365 6181575 10797151 16072095 26786825 32391453 53985755 80360475 140362963 161957265 269928775 421088889 701814815 809786325 2105444445 3509074075 10527222225