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30342244224303 = 32111097487375559
BaseRepresentation
bin1101110011000100110101…
…01100000100110100101111
310222102200122011120201201100
412321202122230010310233
512434111404010134203
6144311011244414143
76251104045322424
oct671423254046457
9128380564521640
1030342244224303
119739089931320
1234a0644247353
1313c135226728b
1476c802b69d4b
15379410ec4ea3
hex1b989ab04d2f

30342244224303 has 48 divisors (see below), whose sum is σ = 48257236684800. Its totient is φ = 18218048178240.

The previous prime is 30342244224293. The next prime is 30342244224311.

30342244224303 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 224 + 422 + 4 + 3 + 0 + 3 = 666.

30342244224303 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30342244224303 - 24 = 30342244224287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342244220303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80604438 + ... + 80979996.

It is an arithmetic number, because the mean of its divisors is an integer number (1005359097600).

Almost surely, 230342244224303 is an apocalyptic number.

30342244224303 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30342244224303 is a deficient number, since it is larger than the sum of its proper divisors (17914992460497).

30342244224303 is a wasteful number, since it uses less digits than its factorization.

30342244224303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383172 (or 383169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 3034224 and 4224303, that added together give a palindrome (7258527).

The spelling of 30342244224303 in words is "thirty trillion, three hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, three hundred three".

Divisors: 1 3 9 11 33 99 109 327 981 1199 3597 7487 10791 22461 67383 82357 247071 375559 741213 816083 1126677 2448249 3380031 4131149 7344747 8976913 12393447 26930739 37180341 40935931 80792217 122807793 368423379 450295241 1350885723 2811810233 4052657169 8435430699 25306292097 30929912563 92789737689 278369213067 306487315397 919461946191 2758385838573 3371360469367 10114081408101 30342244224303