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122243330430 = 2325132383229239
BaseRepresentation
bin111000111011001000…
…1010011000101111110
3102200112100101121022200
41301312101103011332
54000323243033210
6132054030452330
711555206110234
oct1616621230576
9380470347280
10122243330430
114793019a511
121b8370640a6
13b6b1baa420
145cb9262954
1532a6dd10c0
hex1c7645317e

122243330430 has 384 divisors, whose sum is σ = 364563763200. Its totient is φ = 28192969728.

The previous prime is 122243330413. The next prime is 122243330501. The reversal of 122243330430 is 34033342221.

122243330430 is a `hidden beast` number, since 1 + 2 + 224 + 3 + 3 + 3 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122243330394 and 122243330403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511478251 + ... + 511478489.

It is an arithmetic number, because the mean of its divisors is an integer number (949384800).

Almost surely, 2122243330430 is an apocalyptic number.

122243330430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122243330430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182281881600).

122243330430 is an abundant number, since it is smaller than the sum of its proper divisors (242320432770).

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

122243330430 is a wasteful number, since it uses less digits than its factorization.

122243330430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 122243330430 its reverse (34033342221), we get a palindrome (156276672651).

The spelling of 122243330430 in words is "one hundred twenty-two billion, two hundred forty-three million, three hundred thirty thousand, four hundred thirty".