Search a number
-
+
10512321140041 = 767107943922193
BaseRepresentation
bin1001100011111001011100…
…1010101101010101001001
31101012222010201211201201221
42120332113022231111021
52334213213202440131
634205143233042041
72133330055235020
oct230762712552511
941188121751657
1010512321140041
113393283256386
1212194370b6321
135b33ccb2abb6
14284b288878b7
151336b25ce411
hex98f972ad549

10512321140041 has 32 divisors (see below), whose sum is σ = 12309211422720. Its totient is φ = 8791793277696.

The previous prime is 10512321139997. The next prime is 10512321140129. The reversal of 10512321140041 is 14004112321501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10512321140041 - 211 = 10512321137993 is a prime.

It is a super-2 number, since 2×105123211400412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10512321139988 and 10512321140015.

It is not an unprimeable number, because it can be changed into a prime (10512321240041) 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 31 ways as a sum of consecutive naturals, for example, 473666241 + ... + 473688433.

It is an arithmetic number, because the mean of its divisors is an integer number (384662856960).

Almost surely, 210512321140041 is an apocalyptic number.

It is an amenable number.

10512321140041 is a deficient number, since it is larger than the sum of its proper divisors (1796890282679).

10512321140041 is a wasteful number, since it uses less digits than its factorization.

10512321140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31813.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10512321140041 its reverse (14004112321501), we get a palindrome (24516433461542).

The spelling of 10512321140041 in words is "ten trillion, five hundred twelve billion, three hundred twenty-one million, one hundred forty thousand, forty-one".

Divisors: 1 7 67 107 469 749 7169 9439 22193 50183 66073 155351 632413 1009973 1486931 2374651 4426891 7069811 10408517 16622557 67668191 159101617 209479727 473677337 1113711319 1466358089 14035141709 22414330789 98245991963 156900315523 1501760162863 10512321140041