Search a number
-
+
12001042410431 = 61479410727349
BaseRepresentation
bin1010111010100011010111…
…0111101010101110111111
31120111021210021120001002012
42232220311313222232333
53033111113324113211
641305111444321435
72346022006240664
oct256506567525677
946437707501065
1012001042410431
113907682635228
121419a709a327b
136909026587a9
142d6bd4209a6b
1515c2946ccd8b
hexaea35deabbf

12001042410431 has 8 divisors (see below), whose sum is σ = 12223245936000. Its totient is φ = 11779660340640.

The previous prime is 12001042410391. The next prime is 12001042410517. The reversal of 12001042410431 is 13401424010021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001042410431 - 230 = 11999968668607 is a prime.

It is a super-2 number, since 2×120010424104312 (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 = 12001042410397 and 12001042410406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001042410131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205334456 + ... + 205392893.

It is an arithmetic number, because the mean of its divisors is an integer number (1527905742000).

Almost surely, 212001042410431 is an apocalyptic number.

12001042410431 is a deficient number, since it is larger than the sum of its proper divisors (222203525569).

12001042410431 is an equidigital number, since it uses as much as digits as its factorization.

12001042410431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410727889.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12001042410431 its reverse (13401424010021), we get a palindrome (25402466420452).

The spelling of 12001042410431 in words is "twelve trillion, one billion, forty-two million, four hundred ten thousand, four hundred thirty-one".

Divisors: 1 61 479 29219 410727349 25054368289 196738400171 12001042410431