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20123121123329 = 710217069398303
BaseRepresentation
bin1001001001101010001110…
…11111001000000000000001
32122020202021220120121110112
410210311013133020000001
510114144123001421304
6110444233443041105
74144563462220130
oct444650737100001
978222256517415
1020123121123329
1164591932a1324
12230bbb4670195
13b2c7a9cb0933
144d7d6dcd9917
1524d6add58b6e
hex124d477c8001

20123121123329 has 16 divisors (see below), whose sum is σ = 23023691873280. Its totient is φ = 17229015040320.

The previous prime is 20123121123323. The next prime is 20123121123373. The reversal of 20123121123329 is 92332112132102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20123121123329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20123121123295 and 20123121123304.

It is not an unprimeable number, because it can be changed into a prime (20123121123323) 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 15 ways as a sum of consecutive naturals, for example, 50322992 + ... + 50721294.

It is an arithmetic number, because the mean of its divisors is an integer number (1438980742080).

Almost surely, 220123121123329 is an apocalyptic number.

It is an amenable number.

20123121123329 is a deficient number, since it is larger than the sum of its proper divisors (2900570749951).

20123121123329 is a wasteful number, since it uses less digits than its factorization.

20123121123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406400.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 20123121123329 in words is "twenty trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 7 1021 7069 7147 49483 398303 2788121 7217449 50522143 406667363 2815603907 2846671541 19709227349 2874731589047 20123121123329