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122434321110304 = 257278083112953
BaseRepresentation
bin11011110101101001110110…
…001101111101010100100000
3121001111121101100102022020211
4123311221312031331110200
5112021430442201012204
61112221314534343504
734534405420210300
oct3365516615752440
9531447340368224
10122434321110304
1136014116457565
12118947124bab94
135341678995568
142233bd1d8b600
15e24be71a9804
hex6f5a7637d520

122434321110304 has 36 divisors (see below), whose sum is σ = 280396458617814. Its totient is φ = 52471851903744.

The previous prime is 122434321110217. The next prime is 122434321110317. The reversal of 122434321110304 is 403011123434221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 117819128220304 + 4615192890000 = 10854452^2 + 2148300^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39041554909 + ... + 39041558044.

Almost surely, 2122434321110304 is an apocalyptic number.

122434321110304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122434321110304 is an abundant number, since it is smaller than the sum of its proper divisors (157962137507510).

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

122434321110304 is an equidigital number, since it uses as much as digits as its factorization.

122434321110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78083112977 (or 78083112962 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 122434321110304 its reverse (403011123434221), we get a palindrome (525445444544525).

The spelling of 122434321110304 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, three hundred twenty-one million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 78083112953 156166225906 312332451812 546581790671 624664903624 1093163581342 1249329807248 2186327162684 2498659614496 3826072534697 4372654325368 7652145069394 8745308650736 15304290138788 17490617301472 30608580277576 61217160555152 122434321110304