Search a number
-
+
1020101200221 = 35343985717053
BaseRepresentation
bin11101101100000101100…
…01010000100101011101
310121112001121101012100010
432312002301100211131
5113203131401401341
62100343352553433
7133462026064215
oct16660261204535
93545047335303
101020101200221
11363693596164
121458519b2879
137526c91735c
1437531d53245
151b806322716
hexed82c5095d

1020101200221 has 32 divisors (see below), whose sum is σ = 1390656833280. Its totient is φ = 664900314624.

The previous prime is 1020101200219. The next prime is 1020101200229. The reversal of 1020101200221 is 1220021010201.

It is not a de Polignac number, because 1020101200221 - 21 = 1020101200219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101200197 and 1020101200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101200229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59810931 + ... + 59827983.

It is an arithmetic number, because the mean of its divisors is an integer number (43458026040).

Almost surely, 21020101200221 is an apocalyptic number.

It is an amenable number.

1020101200221 is a deficient number, since it is larger than the sum of its proper divisors (370555633059).

1020101200221 is a wasteful number, since it uses less digits than its factorization.

1020101200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020101200221 its reverse (1220021010201), we get a palindrome (2240122210422).

The spelling of 1020101200221 in words is "one trillion, twenty billion, one hundred one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 53 159 439 857 1317 2571 17053 23267 45421 51159 69801 136263 376223 903809 1128669 2711427 7486267 14614421 19939819 22458801 43843263 59819457 396772151 774564313 1190316453 2323692939 6415730819 19247192457 340033733407 1020101200221