Search a number
-
+
53341130000 = 245410152813
BaseRepresentation
bin110001101011011000…
…010000110100010000
312002200102202011100102
4301223120100310100
51333220312130000
640300553311532
73565562060354
oct615330206420
9162612664312
1053341130000
112069274a514
12a407a055a8
135051023022
142820375464
1515c2d6e3d5
hexc6b610d10

53341130000 has 100 divisors (see below), whose sum is σ = 130425334908. Its totient is φ = 21124800000.

The previous prime is 53341129999. The next prime is 53341130039. The reversal of 53341130000 is 3114335.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 45059401984 + 8281728016 = 212272^2 + 91004^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×533411300002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 983594 + ... + 1036406.

Almost surely, 253341130000 is an apocalyptic number.

53341130000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53341130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65212667454).

53341130000 is an abundant number, since it is smaller than the sum of its proper divisors (77084204908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53341130000 is a wasteful number, since it uses less digits than its factorization.

53341130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52942 (or 52921 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 53341130000 its reverse (3114335), we get a palindrome (53344244335).

The spelling of 53341130000 in words is "fifty-three billion, three hundred forty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 52813 63125 101000 105626 126250 202000 211252 252500 264065 422504 505000 528130 845008 1010000 1056260 1320325 2112520 2640650 4225040 5281300 5334113 6601625 10562600 10668226 13203250 21125200 21336452 26406500 26670565 33008125 42672904 52813000 53341130 66016250 85345808 105626000 106682260 132032500 133352825 213364520 264065000 266705650 426729040 528130000 533411300 666764125 1066822600 1333528250 2133645200 2667056500 3333820625 5334113000 6667641250 10668226000 13335282500 26670565000 53341130000