Search a number
-
+
12001300100205 = 3513193239217301
BaseRepresentation
bin1010111010100100010100…
…1110101011010001101101
31120111022110020110000222220
42232221011032223101231
53033112130311201310
641305153211425553
72346031255461063
oct256510516532155
946438406400886
1012001300100205
1139077a5040389
121419b231552b9
13690943b61350
142d6c1a528033
1515c2ac130670
hexaea453ab46d

12001300100205 has 32 divisors (see below), whose sum is σ = 21767540269440. Its totient is φ = 5597367494400.

The previous prime is 12001300100177. The next prime is 12001300100227. The reversal of 12001300100205 is 50200100310021.

It is not a de Polignac number, because 12001300100205 - 211 = 12001300098157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1619604946 + ... + 1619612355.

It is an arithmetic number, because the mean of its divisors is an integer number (680235633420).

Almost surely, 212001300100205 is an apocalyptic number.

12001300100205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12001300100205 is a deficient number, since it is larger than the sum of its proper divisors (9766240169235).

12001300100205 is a wasteful number, since it uses less digits than its factorization.

12001300100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239217341.

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12001300100205 its reverse (50200100310021), we get a palindrome (62201400410226).

The spelling of 12001300100205 in words is "twelve trillion, one billion, three hundred million, one hundred thousand, two hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 3239217301 9717651903 16196086505 42109824913 48588259515 61545128719 126329474739 184635386157 210549124565 307725643595 631647373695 800086673347 923176930785 2400260020041 4000433366735 12001300100205