Search a number
-
+
213140501055 = 3256109977521
BaseRepresentation
bin1100011010000000101…
…0011111001000111111
3202101011010110022011200
43012200022133020333
511443002432013210
6241525420350543
721253551236466
oct3064012371077
9671133408150
10213140501055
1182435290129
12353843a5453
13171398452a1
14a45d3819dd
155826dcb0c0
hex31a029f23f

213140501055 has 24 divisors (see below), whose sum is σ = 369454347600. Its totient is φ = 113671607040.

The previous prime is 213140501051. The next prime is 213140501081. The reversal of 213140501055 is 550105041312.

213140501055 is a `hidden beast` number, since 2 + 13 + 140 + 501 + 0 + 5 + 5 = 666.

213140501055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213140501055 - 22 = 213140501051 is a prime.

It is a super-2 number, since 2×2131405010552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213140501051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2710695 + ... + 2788215.

It is an arithmetic number, because the mean of its divisors is an integer number (15393931150).

Almost surely, 2213140501055 is an apocalyptic number.

213140501055 is a deficient number, since it is larger than the sum of its proper divisors (156313846545).

213140501055 is a wasteful number, since it uses less digits than its factorization.

213140501055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138631 (or 138628 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 213140501055 its reverse (550105041312), we get a palindrome (763245542367).

The spelling of 213140501055 in words is "two hundred thirteen billion, one hundred forty million, five hundred one thousand, fifty-five".

Divisors: 1 3 5 9 15 45 61099 77521 183297 232563 305495 387605 549891 697689 916485 1162815 2749455 3488445 4736455579 14209366737 23682277895 42628100211 71046833685 213140501055