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22105130025 = 3521125345959
BaseRepresentation
bin10100100101100100…
…011000010000101001
32010001112200221202110
4110211210120100221
5330232403130100
614053245352533
71411533335136
oct244544302051
963045627673
1022105130025
119413851400
12434ab68749
1321138707c4
1410d9b0958d
15895998250
hex525918429

22105130025 has 72 divisors (see below), whose sum is σ = 40930505280. Its totient is φ = 10515190400.

The previous prime is 22105129999. The next prime is 22105130051. The reversal of 22105130025 is 52003150122.

It is an interprime number because it is at equal distance from previous prime (22105129999) and next prime (22105130051).

It is not a de Polignac number, because 22105130025 - 25 = 22105129993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22105129983 and 22105130010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457996 + ... + 503954.

It is an arithmetic number, because the mean of its divisors is an integer number (568479240).

Almost surely, 222105130025 is an apocalyptic number.

22105130025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22105130025 is a deficient number, since it is larger than the sum of its proper divisors (18825375255).

22105130025 is a wasteful number, since it uses less digits than its factorization.

22105130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46047 (or 46031 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 22105130025 its reverse (52003150122), we get a palindrome (74108280147).

The spelling of 22105130025 in words is "twenty-two billion, one hundred five million, one hundred thirty thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 53 55 75 121 159 165 265 275 363 583 605 795 825 1325 1749 1815 2915 3025 3975 6413 8745 9075 14575 19239 32065 43725 45959 96195 137877 160325 229795 480975 505549 689385 1148975 1516647 2435827 2527745 3446925 5561039 7307481 7583235 12179135 12638725 16683117 26794097 27805195 36537405 37916175 60895675 80382291 83415585 133970485 139025975 182687025 294735067 401911455 417077925 669852425 884205201 1473675335 2009557275 4421026005 7368376675 22105130025