Search a number
-
+
10041220221 = 317439541829
BaseRepresentation
bin10010101101000000…
…01101110001111101
3221220210022211122020
421112200031301331
5131031023021341
64340214110353
7503554651344
oct112640156175
927823284566
1010041220221
11429300940a
121b4294b3b9
13c403c0536
146b3812b5b
153db801566
hex25680dc7d

10041220221 has 32 divisors (see below), whose sum is σ = 14251564800. Its totient is φ = 6266833920.

The previous prime is 10041220219. The next prime is 10041220223. The reversal of 10041220221 is 12202214001.

10041220221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10041220219) and next prime (10041220223).

It is not a de Polignac number, because 10041220221 - 21 = 10041220219 is a prime.

It is a super-2 number, since 2×100412202212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10041220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12112035 + ... + 12112863.

It is an arithmetic number, because the mean of its divisors is an integer number (445361400).

Almost surely, 210041220221 is an apocalyptic number.

It is an amenable number.

10041220221 is a deficient number, since it is larger than the sum of its proper divisors (4210344579).

10041220221 is a wasteful number, since it uses less digits than its factorization.

10041220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10041220221 its reverse (12202214001), we get a palindrome (22243434222).

The spelling of 10041220221 in words is "ten billion, forty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 17 51 439 541 829 1317 1623 2487 7463 9197 14093 22389 27591 42279 237499 363931 448489 712497 1091793 1345467 4037483 6186827 7624313 12112449 18560481 22872939 196886671 590660013 3347073407 10041220221