Search a number
-
+
1020201222201 = 3747259372751
BaseRepresentation
bin11101101100010001011…
…10110100000000111001
310121112022120120211200220
432312020232310000321
5113203333003102301
62100401324450253
7133464352210410
oct16661056640071
93545276524626
101020201222201
11363734aa2157
1214587b3a9989
1375287567b65
143754134c477
151b80eecd936
hexed88bb4039

1020201222201 has 48 divisors (see below), whose sum is σ = 1615298426880. Its totient is φ = 560896308000.

The previous prime is 1020201222197. The next prime is 1020201222241. The reversal of 1020201222201 is 1022221020201.

It is not a de Polignac number, because 1020201222201 - 22 = 1020201222197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020201222241) 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 47 ways as a sum of consecutive naturals, for example, 2550576 + ... + 2923326.

It is an arithmetic number, because the mean of its divisors is an integer number (33652050560).

Almost surely, 21020201222201 is an apocalyptic number.

It is an amenable number.

1020201222201 is a deficient number, since it is larger than the sum of its proper divisors (595097204679).

1020201222201 is an equidigital number, since it uses as much as digits as its factorization.

1020201222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372914 (or 372867 counting only the distinct ones).

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

Adding to 1020201222201 its reverse (1022221020201), we get a palindrome (2042422242402).

The spelling of 1020201222201 in words is "one trillion, twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 21 47 59 141 177 329 413 987 1239 2209 2773 6627 8319 15463 19411 46389 58233 130331 372751 390993 912317 1118253 2609257 2736951 7827771 17519297 21992309 52557891 65976927 122635079 153946163 367905237 461838489 823406959 1033638523 2470220877 3100915569 5763848713 7235469661 17291546139 21706408983 48581010581 145743031743 340067074067 1020201222201