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20133120123121 = 1710781109850773
BaseRepresentation
bin1001001001111100110110…
…11110010010000011110001
32122021201002202110102120011
410210332123132102003301
510114330112222414441
6110453005552214521
74145366325265045
oct444763336220361
978251082412504
1020133120123121
116462454492915
122311b2523a441
13b3071170aa65
144d863bc7c025
1524da96aba581
hex124f9b7920f1

20133120123121 has 8 divisors (see below), whose sum is σ = 21319398814824. Its totient is φ = 18947061154560.

The previous prime is 20133120123097. The next prime is 20133120123143. The reversal of 20133120123121 is 12132102133102.

It can be written as a sum of positive squares in 4 ways, for example, as 9096346480225 + 11036773642896 = 3016015^2 + 3322164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20133120123121 - 211 = 20133120121073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20133120123092 and 20133120123101.

It is not an unprimeable number, because it can be changed into a prime (20133120123821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54742110 + ... + 55108663.

It is an arithmetic number, because the mean of its divisors is an integer number (2664924851853).

Almost surely, 220133120123121 is an apocalyptic number.

It is an amenable number.

20133120123121 is a deficient number, since it is larger than the sum of its proper divisors (1186278691703).

20133120123121 is a wasteful number, since it uses less digits than its factorization.

20133120123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109861571.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 20133120123121 its reverse (12132102133102), we get a palindrome (32265222256223).

The spelling of 20133120123121 in words is "twenty trillion, one hundred thirty-three billion, one hundred twenty million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 17 10781 183277 109850773 1867463141 1184301183713 20133120123121