Search a number
-
+
10542132026 = 2192925138113
BaseRepresentation
bin10011101000101110…
…00010101100111010
31000012200212210110022
421310113002230322
5133042241211101
64502030250442
7522146433536
oct116427025472
930180783408
1010542132026
11451a838908
122062656a22
13cc010465a
14720164bc6
1541a799a1b
hex2745c2b3a

10542132026 has 32 divisors (see below), whose sum is σ = 17288510400. Its totient is φ = 4802112000.

The previous prime is 10542132017. The next prime is 10542132031. The reversal of 10542132026 is 62023124501.

It is a happy number.

10542132026 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 2×105421320262 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10542131986 and 10542132004.

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 15 ways as a sum of consecutive naturals, for example, 257546 + ... + 295658.

It is an arithmetic number, because the mean of its divisors is an integer number (540265950).

Almost surely, 210542132026 is an apocalyptic number.

10542132026 is a deficient number, since it is larger than the sum of its proper divisors (6746378374).

10542132026 is a wasteful number, since it uses less digits than its factorization.

10542132026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38414.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10542132026 its reverse (62023124501), we get a palindrome (72565256527).

The spelling of 10542132026 in words is "ten billion, five hundred forty-two million, one hundred thirty-two thousand, twenty-six".

Divisors: 1 2 19 29 38 58 251 502 551 1102 4769 7279 9538 14558 38113 76226 138301 276602 724147 1105277 1448294 2210554 9566363 19132726 21000263 42000526 181760897 277424527 363521794 554849054 5271066013 10542132026