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202313203441344 = 263216711171882921
BaseRepresentation
bin101110000000000010110110…
…100111111101111011000000
3222112022221202000000020210200
4232000002312213331323000
5203004144420040110334
61554141222543125200
760420434532202302
oct5600026647757300
9875287660006720
10202313203441344
1159510603059326
121a8357a25a3800
1388b708cc14328
1437d6022dbb972
15185c96d966799
hexb800b69fdec0

202313203441344 has 168 divisors, whose sum is σ = 583889261792928. Its totient is φ = 66973867683840.

The previous prime is 202313203441339. The next prime is 202313203441403. The reversal of 202313203441344 is 443144302313202.

202313203441344 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 3 + 203 + 441 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 202313203441299 and 202313203441308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106505004 + ... + 108387924.

It is an arithmetic number, because the mean of its divisors is an integer number (3475531320196).

Almost surely, 2202313203441344 is an apocalyptic number.

202313203441344 is a gapful number since it is divisible by the number (24) 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 202313203441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291944630896464).

202313203441344 is an abundant number, since it is smaller than the sum of its proper divisors (381576058351584).

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

202313203441344 is a wasteful number, since it uses less digits than its factorization.

202313203441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884223 (or 1884210 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 202313203441344 its reverse (443144302313202), we get a palindrome (645457505754546).

The spelling of 202313203441344 in words is "two hundred two trillion, three hundred thirteen billion, two hundred three million, four hundred forty-one thousand, three hundred forty-four".