Search a number
-
+
10540242421035 = 35776819045749
BaseRepresentation
bin1001100101100001011101…
…1001111100010100101011
31101022122012121122202201020
42121120113121330110223
52340142404024433120
634230042011023523
72135336014222425
oct231302731742453
941278177582636
1010540242421035
1133a4101077018
121222929a3aba3
135b5c2c646642
14286216bc5815
15134298996640
hex9961767c52b

10540242421035 has 16 divisors (see below), whose sum is σ = 16864606836000. Its totient is φ = 5621389637120.

The previous prime is 10540242421031. The next prime is 10540242421057. The reversal of 10540242421035 is 53012424204501.

It is not a de Polignac number, because 10540242421035 - 22 = 10540242421031 is a prime.

It is a super-2 number, since 2×105402424210352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540242420987 and 10540242421005.

It is not an unprimeable number, because it can be changed into a prime (10540242421031) 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 15 ways as a sum of consecutive naturals, for example, 3357660 + ... + 5688089.

It is an arithmetic number, because the mean of its divisors is an integer number (1054037927250).

Almost surely, 210540242421035 is an apocalyptic number.

10540242421035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10540242421035 is a deficient number, since it is larger than the sum of its proper divisors (6324364414965).

10540242421035 is an equidigital number, since it uses as much as digits as its factorization.

10540242421035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123438.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 10540242421035 its reverse (53012424204501), we get a palindrome (63552666625536).

The spelling of 10540242421035 in words is "ten trillion, five hundred forty billion, two hundred forty-two million, four hundred twenty-one thousand, thirty-five".

Divisors: 1 3 5 15 77681 233043 388405 1165215 9045749 27137247 45228745 135686235 702682828069 2108048484207 3513414140345 10540242421035