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235254110013 = 32138117247717
BaseRepresentation
bin1101101100011000111…
…1001101011100111101
3211111020021010000211200
43123012033031130331
512323300023010023
6300024012010113
722665546640566
oct3330617153475
9744207100750
10235254110013
11908528a290a
1239716160939
13192520941c0
14b55a25716d
1561bd49b743
hex36c63cd73d

235254110013 has 24 divisors (see below), whose sum is σ = 365997399768. Its totient is φ = 144753340032.

The previous prime is 235254109963. The next prime is 235254110051. The reversal of 235254110013 is 310011452532.

235254110013 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 541 + 100 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1947721689 + 233306388324 = 44133^2 + 483018^2 .

It is not a de Polignac number, because 235254110013 - 210 = 235254108989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235254110093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825831 + ... + 1073547.

It is an arithmetic number, because the mean of its divisors is an integer number (15249891657).

Almost surely, 2235254110013 is an apocalyptic number.

It is an amenable number.

235254110013 is a deficient number, since it is larger than the sum of its proper divisors (130743289755).

235254110013 is a wasteful number, since it uses less digits than its factorization.

235254110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255853 (or 255850 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 235254110013 its reverse (310011452532), we get a palindrome (545265562545).

The spelling of 235254110013 in words is "two hundred thirty-five billion, two hundred fifty-four million, one hundred ten thousand, thirteen".

Divisors: 1 3 9 13 39 117 8117 24351 73053 105521 247717 316563 743151 949689 2229453 3220321 9660963 28982889 2010718889 6032156667 18096470001 26139345557 78418036671 235254110013