Search a number
-
+
10000331004041 = 7193113118515257
BaseRepresentation
bin1001000110000110001000…
…1011010101100010001001
31022102000121021002000000022
42101201202023111202021
52302321134214112131
633134031051350225
72051333345003540
oct221414213254211
938360537060008
1010000331004041
113206131164284
12115616a752375
135770478c02c1
14268039093157
151251e902837b
hex918622d5889

10000331004041 has 32 divisors (see below), whose sum is σ = 12513351966720. Its totient is φ = 7798625827200.

The previous prime is 10000331003989. The next prime is 10000331004043. The reversal of 10000331004041 is 14040013300001.

It is a cyclic number.

It is not a de Polignac number, because 10000331004041 - 26 = 10000331003977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000331004043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8717516 + ... + 9797741.

It is an arithmetic number, because the mean of its divisors is an integer number (391042248960).

Almost surely, 210000331004041 is an apocalyptic number.

It is an amenable number.

10000331004041 is a deficient number, since it is larger than the sum of its proper divisors (2513020962679).

10000331004041 is a wasteful number, since it uses less digits than its factorization.

10000331004041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515445.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10000331004041 its reverse (14040013300001), we get a palindrome (24040344304042).

The spelling of 10000331004041 in words is "ten trillion, three hundred thirty-one million, four thousand, forty-one".

Divisors: 1 7 19 31 131 133 217 589 917 2489 4061 4123 17423 28427 77159 540113 18515257 129606799 351789883 573972967 2425498667 2462529181 4017810769 10905486373 16978490669 46084474673 75190458677 76338404611 322591322711 526333210739 1428618714863 10000331004041