Search a number
-
+
1220102100221 = 43122927418423
BaseRepresentation
bin10001110000010011110…
…000001001010011111101
311022122022000100121101212
4101300103300021103331
5124442232114201341
62332301314214205
7154102160510144
oct21602360112375
94278260317355
101220102100221
11430495911564
12178569884365
138b094190074
14430a61ca75b
1521b0e8c35eb
hex11c13c094fd

1220102100221 has 16 divisors (see below), whose sum is σ = 1250096664960. Its totient is φ = 1190182217280.

The previous prime is 1220102100193. The next prime is 1220102100241. The reversal of 1220102100221 is 1220012010221.

It is a cyclic number.

It is not a de Polignac number, because 1220102100221 - 26 = 1220102100157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220102100196 and 1220102100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220102100241) 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 15 ways as a sum of consecutive naturals, for example, 144849416 + ... + 144857838.

It is an arithmetic number, because the mean of its divisors is an integer number (78131041560).

Almost surely, 21220102100221 is an apocalyptic number.

It is an amenable number.

1220102100221 is a deficient number, since it is larger than the sum of its proper divisors (29994564739).

1220102100221 is a wasteful number, since it uses less digits than its factorization.

1220102100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220102100221 its reverse (1220012010221), we get a palindrome (2440114110442).

The spelling of 1220102100221 in words is "one trillion, two hundred twenty billion, one hundred two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 43 1229 2741 8423 52847 117863 362189 3368689 10351867 23087443 144853627 445130281 992760049 28374467447 1220102100221