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2302434421100 = 22521131416732447
BaseRepresentation
bin100001100000010011110…
…010010010100101101100
322011002222121120021122122
4201200103302102211230
5300210341202433400
64521420200132112
7325226320445132
oct41402362224554
98132877507578
102302434421100
1180850322a750
12312288767038
13139170841028
147d61d051752
153ed59261685
hex21813c9296c

2302434421100 has 288 divisors, whose sum is σ = 5774462410752. Its totient is φ = 788981760000.

The previous prime is 2302434421093. The next prime is 2302434421127. The reversal of 2302434421100 is 11244342032.

It is a self number, because there is not a number n which added to its sum of digits gives 2302434421100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940920077 + ... + 940922523.

It is an arithmetic number, because the mean of its divisors is an integer number (20050216704).

Almost surely, 22302434421100 is an apocalyptic number.

2302434421100 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 2302434421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887231205376).

2302434421100 is an abundant number, since it is smaller than the sum of its proper divisors (3472027989652).

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

2302434421100 is a wasteful number, since it uses less digits than its factorization.

2302434421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2302434421100 its reverse (11244342032), we get a palindrome (2313678763132).

The spelling of 2302434421100 in words is "two trillion, three hundred two billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred".