Search a number
-
+
10534213140 = 223511101158029
BaseRepresentation
bin10011100111110001…
…10101011000010100
31000012010222110210020
421303320311120110
5133033224310030
64501144425140
7522022222443
oct116370653024
930163873706
1010534213140
11451631a280
12205ba781b0
13cbb591119
1471d0a2d5a
15419c33510
hex273e35614

10534213140 has 96 divisors (see below), whose sum is σ = 32496024960. Its totient is φ = 2528448000.

The previous prime is 10534213139. The next prime is 10534213153. The reversal of 10534213140 is 4131243501.

It is a happy number.

10534213140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105342131402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10534213140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12355 + ... + 145674.

It is an arithmetic number, because the mean of its divisors is an integer number (338500260).

Almost surely, 210534213140 is an apocalyptic number.

10534213140 is a gapful number since it is divisible by the number (10) 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 10534213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248012480).

10534213140 is an abundant number, since it is smaller than the sum of its proper divisors (21961811820).

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

10534213140 is a wasteful number, since it uses less digits than its factorization.

10534213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158153 (or 158151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10534213140 its reverse (4131243501), we get a palindrome (14665456641).

The spelling of 10534213140 in words is "ten billion, five hundred thirty-four million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 158029 316058 474087 632116 790145 948174 1580290 1738319 1896348 2370435 3160580 3476638 4740870 5214957 6953276 8691595 9481740 10429914 15960929 17383190 20859828 26074785 31921858 34766380 47882787 52149570 63843716 79804645 95765574 104299140 159609290 175570219 191531148 239413935 319218580 351140438 478827870 526710657 702280876 877851095 957655740 1053421314 1755702190 2106842628 2633553285 3511404380 5267106570 10534213140