Search a number
-
+
10521261156 = 223743267741
BaseRepresentation
bin10011100110001110…
…11011010001100100
31000011020121110000010
421303013123101210
5133021420324111
64500003050220
7521504146530
oct116307332144
930136543003
1010521261156
114509a8325a
122057670970
13cb89a7a23
1471b490bc0
15418a25aa6
hex2731db464

10521261156 has 72 divisors (see below), whose sum is σ = 28724775744. Its totient is φ = 2936122560.

The previous prime is 10521261139. The next prime is 10521261169. The reversal of 10521261156 is 65116212501.

10521261156 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 2×105212611562 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 121446 + ... + 189186.

Almost surely, 210521261156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10521261156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362387872).

10521261156 is an abundant number, since it is smaller than the sum of its proper divisors (18203514588).

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

10521261156 is a wasteful number, since it uses less digits than its factorization.

10521261156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67841 (or 67796 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 10521261156 its reverse (65116212501), we get a palindrome (75637473657).

The spelling of 10521261156 in words is "ten billion, five hundred twenty-one million, two hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1849 3612 3698 5547 7396 11094 12943 22188 25886 38829 51772 67741 77658 135482 155316 203223 270964 406446 474187 812892 948374 1422561 1896748 2845122 2912863 5690244 5825726 8738589 11651452 17477178 20390041 34954356 40780082 61170123 81560164 122340246 125253109 244680492 250506218 375759327 501012436 751518654 876771763 1503037308 1753543526 2630315289 3507087052 5260630578 10521261156