Search a number
-
+
21314134575 = 3252475034007
BaseRepresentation
bin10011110110011010…
…111110001000101111
32001000102022012222200
4103312122332020233
5322122404301300
613442551512543
71353120104016
oct236632761057
961012265880
1021314134575
119048300858
12416a088753
132018a21366
141062a45a7d
1584b2ee200
hex4f66be22f

21314134575 has 72 divisors (see below), whose sum is σ = 39075499008. Its totient is φ = 11100786240.

The previous prime is 21314134561. The next prime is 21314134579. The reversal of 21314134575 is 57543141312.

21314134575 is a `hidden beast` number, since 2 + 13 + 1 + 41 + 34 + 575 = 666.

It is not a de Polignac number, because 21314134575 - 27 = 21314134447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314134579) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5317222 + ... + 5321228.

It is an arithmetic number, because the mean of its divisors is an integer number (542715264).

Almost surely, 221314134575 is an apocalyptic number.

21314134575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21314134575 is a deficient number, since it is larger than the sum of its proper divisors (17761364433).

21314134575 is a wasteful number, since it uses less digits than its factorization.

21314134575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4565 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

Adding to 21314134575 its reverse (57543141312), we get a palindrome (78857275887).

The spelling of 21314134575 in words is "twenty-one billion, three hundred fourteen million, one hundred thirty-four thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 503 705 1175 1509 2115 2515 3525 4007 4527 7545 10575 12021 12575 20035 22635 23641 36063 37725 60105 70923 100175 113175 118205 180315 188329 212769 300525 354615 564987 591025 901575 941645 1063845 1694961 1773075 2015521 2824935 4708225 5319225 6046563 8474805 10077605 14124675 18139689 30232815 42374025 50388025 90698445 94729487 151164075 284188461 453492225 473647435 852565383 1420942305 2368237175 4262826915 7104711525 21314134575