Search a number
-
+
10011140301441 = 325723099562129
BaseRepresentation
bin1001000110101110011001…
…1101100010001010000001
31022110001111120200012110110
42101223212131202022001
52303010303404121231
633143015424221533
72052165250344246
oct221534635421201
938401446605413
1010011140301441
11320a77878a414
12115828676a8a9
1357807b167476
142687828c15cd
1512562ce98046
hex91ae6762281

10011140301441 has 16 divisors (see below), whose sum is σ = 13400729496000. Its totient is φ = 6647824662528.

The previous prime is 10011140301427. The next prime is 10011140301443. The reversal of 10011140301441 is 14410304111001.

It is not a de Polignac number, because 10011140301441 - 26 = 10011140301377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011140301443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17528265 + ... + 18090393.

It is an arithmetic number, because the mean of its divisors is an integer number (837545593500).

Almost surely, 210011140301441 is an apocalyptic number.

It is an amenable number.

10011140301441 is a deficient number, since it is larger than the sum of its proper divisors (3389589194559).

10011140301441 is a wasteful number, since it uses less digits than its factorization.

10011140301441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585488.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10011140301441 its reverse (14410304111001), we get a palindrome (24421444412442).

The spelling of 10011140301441 in words is "ten trillion, eleven billion, one hundred forty million, three hundred one thousand, four hundred forty-one".

Divisors: 1 3 257 771 23099 69297 562129 1686387 5936443 17809329 144467153 433401459 12984617771 38953853313 3337046767147 10011140301441