Search a number
-
+
12001300100213 = 23839371670867
BaseRepresentation
bin1010111010100100010100…
…1110101011010001110101
31120111022110020110001000012
42232221011032223101311
53033112130311201323
641305153211430005
72346031255461104
oct256510516532165
946438406401005
1012001300100213
1139077a5040396
121419b23155305
13690943b61358
142d6c1a52803b
1515c2ac130678
hexaea453ab475

12001300100213 has 16 divisors (see below), whose sum is σ = 12675347790336. Its totient is φ = 11339970013680.

The previous prime is 12001300100177. The next prime is 12001300100227. The reversal of 12001300100213 is 31200100310021.

It is a cyclic number.

It is not a de Polignac number, because 12001300100213 - 224 = 12001283322997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001300100263) 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, 17553806 + ... + 18224672.

It is an arithmetic number, because the mean of its divisors is an integer number (792209236896).

Almost surely, 212001300100213 is an apocalyptic number.

It is an amenable number.

12001300100213 is a deficient number, since it is larger than the sum of its proper divisors (674047690123).

12001300100213 is an equidigital number, since it uses as much as digits as its factorization.

12001300100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680344.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12001300100213 its reverse (31200100310021), we get a palindrome (43201400410234).

The spelling of 12001300100213 in words is "twelve trillion, one billion, three hundred million, one hundred thousand, two hundred thirteen".

Divisors: 1 23 83 1909 9371 215533 670867 777793 15429941 17889239 55681961 1280685103 6286694657 144593977111 521795656531 12001300100213