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2202131031100 = 225271113157140123
BaseRepresentation
bin100000000010111001001…
…111001110010000111100
321210112002022001010120021
4200002321033032100330
5242034431020443400
64403351154301524
7315045600630520
oct40027117162074
97715068033507
102202131031100
11779a11615210
122b69552878a4
1312c8772177a0
14788259b7d80
153c43859871a
hex200b93ce43c

2202131031100 has 288 divisors, whose sum is σ = 6456967727616. Its totient is φ = 629540121600.

The previous prime is 2202131031083. The next prime is 2202131031151. The reversal of 2202131031100 is 11301312022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15645639 + ... + 15785761.

It is an arithmetic number, because the mean of its divisors is an integer number (22420026832).

Almost surely, 22202131031100 is an apocalyptic number.

2202131031100 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 2202131031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228483863808).

2202131031100 is an abundant number, since it is smaller than the sum of its proper divisors (4254836696516).

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

2202131031100 is a wasteful number, since it uses less digits than its factorization.

2202131031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140325 (or 140318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2202131031100 its reverse (11301312022), we get a palindrome (2213432343122).

The spelling of 2202131031100 in words is "two trillion, two hundred two billion, one hundred thirty-one million, thirty-one thousand, one hundred".