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122302322400340 = 22519674803704729
BaseRepresentation
bin11011110011101110111010…
…011110110101110001010100
3121001000222200010120002000001
4123303232322132311301110
5112012300124013302330
61112040524500101044
734522023363533215
oct3363567236656124
9531028603502001
10122302322400340
1135a7313a642015
1211873014394784
1353320a09a8914
14222b66d28140c
15e2156db3a9ca
hex6f3bba7b5c54

122302322400340 has 48 divisors (see below), whose sum is σ = 274387614177600. Its totient is φ = 45654409734912.

The previous prime is 122302322400337. The next prime is 122302322400437. The reversal of 122302322400340 is 43004223203221.

It is a junction number, because it is equal to n+sod(n) for n = 122302322400299 and 122302322400308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2401826905 + ... + 2401877824.

It is an arithmetic number, because the mean of its divisors is an integer number (5716408628700).

Almost surely, 2122302322400340 is an apocalyptic number.

122302322400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122302322400340 is an abundant number, since it is smaller than the sum of its proper divisors (152085291777260).

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

122302322400340 is a wasteful number, since it uses less digits than its factorization.

122302322400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803704824 (or 4803704822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 122302322400340 its reverse (43004223203221), we get a palindrome (165306545603561).

The spelling of 122302322400340 in words is "one hundred twenty-two trillion, three hundred two billion, three hundred twenty-two million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12730 25460 4803704729 9607409458 19214818916 24018523645 48037047290 91270389851 96074094580 182540779702 321848216843 365081559404 456351949255 643696433686 912703898510 1287392867372 1609241084215 1825407797020 3218482168430 6115116120017 6436964336860 12230232240034 24460464480068 30575580600085 61151161200170 122302322400340