Search a number
-
+
202131013320033 = 373297896594193
BaseRepresentation
bin101101111101011001001011…
…001111110011110101100001
3222111200112110212011010220220
4231331121023033303311201
5202443203303402220113
61553521412224353253
760401324640546000
oct5575311317636541
9874615425133826
10202131013320033
1159450310524636
121a806417475829
1388a2b46619a15
1437cb29c396c37
151857d58d43523
hexb7d64b3f3d61

202131013320033 has 32 divisors (see below), whose sum is σ = 314305662816000. Its totient is φ = 115499541282048.

The previous prime is 202131013320029. The next prime is 202131013320083. The reversal of 202131013320033 is 330023310131202.

It is not a de Polignac number, because 202131013320033 - 22 = 202131013320029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202131013319985 and 202131013320012.

It is not an unprimeable number, because it can be changed into a prime (202131013320083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27355785 + ... + 33949977.

It is an arithmetic number, because the mean of its divisors is an integer number (9822051963000).

Almost surely, 2202131013320033 is an apocalyptic number.

It is an amenable number.

202131013320033 is a deficient number, since it is larger than the sum of its proper divisors (112174649495967).

202131013320033 is an equidigital number, since it uses as much as digits as its factorization.

202131013320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624006 (or 6623992 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 202131013320033 its reverse (330023310131202), we get a palindrome (532154323451235).

The spelling of 202131013320033 in words is "two hundred two trillion, one hundred thirty-one billion, thirteen million, three hundred twenty thousand, thirty-three".

Divisors: 1 3 7 21 49 147 343 1029 29789 89367 208523 625569 1459661 4378983 6594193 10217627 19782579 30652881 46159351 138478053 323115457 969346371 2261808199 6785424597 196434415277 589303245831 1375040906939 4125122720817 9625286348573 28875859045719 67377004440011 202131013320033