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21314134625 = 5371713710459
BaseRepresentation
bin10011110110011010…
…111110001001100001
32001000102022020001112
4103312122332021201
5322122404302000
613442551513105
71353120104120
oct236632761141
961012266045
1021314134625
1190483008a3
12416a088795
132018a213a4
141062a45ab7
1584b2ee235
hex4f66be261

21314134625 has 64 divisors (see below), whose sum is σ = 32426334720. Its totient is φ = 13653964800.

The previous prime is 21314134619. The next prime is 21314134637. The reversal of 21314134625 is 52643141312.

It is not a de Polignac number, because 21314134625 - 26 = 21314134561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21314134591 and 21314134600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032646 + ... + 2043104.

It is an arithmetic number, because the mean of its divisors is an integer number (506661480).

Almost surely, 221314134625 is an apocalyptic number.

21314134625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21314134625 is a deficient number, since it is larger than the sum of its proper divisors (11112200095).

21314134625 is a wasteful number, since it uses less digits than its factorization.

21314134625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10625 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 21314134625 its reverse (52643141312), we get a palindrome (73957275937).

The spelling of 21314134625 in words is "twenty-one billion, three hundred fourteen million, one hundred thirty-four thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 125 137 175 425 595 685 875 959 2125 2329 2975 3425 4795 10459 11645 14875 16303 17125 23975 52295 58225 73213 81515 119875 177803 261475 291125 366065 407575 889015 1244621 1307375 1432883 1830325 2037875 4445075 6223105 7164415 9151625 10030181 22225375 24359011 31115525 35822075 50150905 121795055 155577625 170513077 179110375 250754525 608975275 852565385 1253772625 3044876375 4262826925 21314134625