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122304402304 = 277136500449
BaseRepresentation
bin111000111100111101…
…0010001001110000000
3102200200121022101011221
41301321322101032000
54000434411333204
6132104051444424
711556550160320
oct1617172211600
9380617271157
10122304402304
1147961712737
121b8535b6714
13b6c1741226
145cc33dd280
1532ac446654
hex1c79e91380

122304402304 has 32 divisors (see below), whose sum is σ = 278460918000. Its totient is φ = 52416172032.

The previous prime is 122304402301. The next prime is 122304402373. The reversal of 122304402304 is 403204403221.

It is a happy number.

122304402304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122304402301) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68249329 + ... + 68251120.

Almost surely, 2122304402304 is an apocalyptic number.

122304402304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122304402304 is an abundant number, since it is smaller than the sum of its proper divisors (156156515696).

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

122304402304 is an equidigital number, since it uses as much as digits as its factorization.

122304402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136500470 (or 136500458 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 122304402304 its reverse (403204403221), we get a palindrome (525508805525).

The spelling of 122304402304 in words is "one hundred twenty-two billion, three hundred four million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 136500449 273000898 546001796 955503143 1092003592 1911006286 2184007184 3822012572 4368014368 7644025144 8736028736 15288050288 17472057472 30576100576 61152201152 122304402304