Search a number
-
+
202102311203320 = 23511231071791042687
BaseRepresentation
bin101101111100111110011100…
…011101111011000111111000
3222111120210101120001112201011
4231330332130131323013320
5202442221013132001240
61553500304154403304
760366260450563303
oct5574763435730770
9874523346045634
10202102311203320
115943a121972520
121a800947130534
1388a02210cb2c8
1437c9b3847bb3a
15185722913c6ea
hexb7cf9c77b1f8

202102311203320 has 256 divisors, whose sum is σ = 525394634342400. Its totient is φ = 69250366056960.

The previous prime is 202102311203227. The next prime is 202102311203321. The reversal of 202102311203320 is 23302113201202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 202102311203291 and 202102311203300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102311203321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193307017 + ... + 194349703.

It is an arithmetic number, because the mean of its divisors is an integer number (2052322790400).

Almost surely, 2202102311203320 is an apocalyptic number.

202102311203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102311203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262697317171200).

202102311203320 is an abundant number, since it is smaller than the sum of its proper divisors (323292323139080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202102311203320 is a wasteful number, since it uses less digits than its factorization.

202102311203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043018 (or 1043014 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 202102311203320 its reverse (23302113201202), we get a palindrome (225404424404522).

The spelling of 202102311203320 in words is "two hundred two trillion, one hundred two billion, three hundred eleven million, two hundred three thousand, three hundred twenty".