Search a number
-
+
1022112001205 = 51741293288953
BaseRepresentation
bin11101101111110101001…
…11110110110010110101
310121201020202001110201122
432313322213312302311
5113221241133014310
62101315103233325
7133562613442601
oct16677247666265
93551222043648
101022112001205
1136452563a759
121461132a8845
13755003a3a19
1437683020501
151b8c2b1a555
hexedfa9f6cb5

1022112001205 has 16 divisors (see below), whose sum is σ = 1330358695344. Its totient is φ = 750819717120.

The previous prime is 1022112001189. The next prime is 1022112001231. The reversal of 1022112001205 is 5021002112201.

It can be written as a sum of positive squares in 8 ways, for example, as 162111722161 + 860000279044 = 402631^2 + 927362^2 .

It is not a de Polignac number, because 1022112001205 - 24 = 1022112001189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146640992 + ... + 146647961.

It is an arithmetic number, because the mean of its divisors is an integer number (83147418459).

Almost surely, 21022112001205 is an apocalyptic number.

It is an amenable number.

1022112001205 is a deficient number, since it is larger than the sum of its proper divisors (308246694139).

1022112001205 is a wasteful number, since it uses less digits than its factorization.

1022112001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293289016.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 1022112001205 its reverse (5021002112201), we get a palindrome (6043114113406).

The spelling of 1022112001205 in words is "one trillion, twenty-two billion, one hundred twelve million, one thousand, two hundred five".

Divisors: 1 5 17 41 85 205 697 3485 293288953 1466444765 4985912201 12024847073 24929561005 60124235365 204422400241 1022112001205