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20321112322233 = 322287319871427
BaseRepresentation
bin1001001111011011000001…
…01011100111000010111001
32122221200100020221121220100
410213231200223213002321
510130420114223302413
6111115220133350013
74165103051515152
oct447554053470271
978850306847810
1020321112322233
116525154154528
12234244b498309
13b453710937b8
145037932b0929
152538eac7ca73
hex127b60ae70b9

20321112322233 has 12 divisors (see below), whose sum is σ = 29352849100848. Its totient is φ = 13547347613880.

The previous prime is 20321112322193. The next prime is 20321112322241. The reversal of 20321112322233 is 33222321112302.

20321112322233 is a `hidden beast` number, since 2 + 0 + 321 + 1 + 12 + 322 + 2 + 3 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20321112322233 is a prime.

It is a super-2 number, since 2×203211123222332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20321112322197 and 20321112322206.

It is not an unprimeable number, because it can be changed into a prime (20321112322733) 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 11 ways as a sum of consecutive naturals, for example, 2877135 + ... + 6994292.

It is an arithmetic number, because the mean of its divisors is an integer number (2446070758404).

Almost surely, 220321112322233 is an apocalyptic number.

It is an amenable number.

20321112322233 is a deficient number, since it is larger than the sum of its proper divisors (9031736778615).

20321112322233 is a wasteful number, since it uses less digits than its factorization.

20321112322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100164 (or 10100161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20321112322233 its reverse (33222321112302), we get a palindrome (53543433434535).

The spelling of 20321112322233 in words is "twenty trillion, three hundred twenty-one billion, one hundred twelve million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 228731 686193 2058579 9871427 29614281 88842843 2257901369137 6773704107411 20321112322233