Search a number
-
+
2220201024101 = 19261388711311
BaseRepresentation
bin100000010011101110010…
…010110001101001100101
321212020201121220212221022
4200103232102301221211
5242333432430232401
64415540221100525
7316255436220044
oct40235622615145
97766647825838
102220201024101
11786644663425
122ba3589b7745
13131496ab3638
147965b82455b
153cb44b7a71b
hex204ee4b1a65

2220201024101 has 24 divisors (see below), whose sum is σ = 2349880130304. Its totient is φ = 2097364220640.

The previous prime is 2220201024079. The next prime is 2220201024143. The reversal of 2220201024101 is 1014201020222.

It is not a de Polignac number, because 2220201024101 - 222 = 2220196829797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220201024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220201026101) 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 23 ways as a sum of consecutive naturals, for example, 196281236 + ... + 196292546.

It is an arithmetic number, because the mean of its divisors is an integer number (97911672096).

Almost surely, 22220201024101 is an apocalyptic number.

It is an amenable number.

2220201024101 is a deficient number, since it is larger than the sum of its proper divisors (129679106203).

2220201024101 is a wasteful number, since it uses less digits than its factorization.

2220201024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12849 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2220201024101 its reverse (1014201020222), we get a palindrome (3234402044323).

The spelling of 2220201024101 in words is "two trillion, two hundred twenty billion, two hundred one million, twenty-four thousand, one hundred one".

Divisors: 1 19 361 613 887 11311 11647 16853 214909 221293 320207 543731 4083271 6933643 10032857 10330889 131739217 190624283 196286891 2503045123 3621861377 6150141341 116852685479 2220201024101