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331322220021 = 31321993283897
BaseRepresentation
bin1001101001001000101…
…01111101110111110101
31011200012102012200000010
410310210111331313311
520412021442020041
6412112441010433
732636321255142
oct4644425756765
91150172180003
10331322220021
11118570834851
1254267183a19
132532210b700
14120710133c9
158942416a16
hex4d2457ddf5

331322220021 has 24 divisors (see below), whose sum is σ = 480762667200. Its totient is φ = 202865959296.

The previous prime is 331322220007. The next prime is 331322220023. The reversal of 331322220021 is 120022223133.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-331322220021 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331322220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331322220023) 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 23 ways as a sum of consecutive naturals, for example, 1541056 + ... + 1742841.

It is an arithmetic number, because the mean of its divisors is an integer number (20031777800).

Almost surely, 2331322220021 is an apocalyptic number.

It is an amenable number.

331322220021 is a deficient number, since it is larger than the sum of its proper divisors (149440447179).

331322220021 is a wasteful number, since it uses less digits than its factorization.

331322220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284125 (or 3284112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 331322220021 its reverse (120022223133), we get a palindrome (451344443154).

The spelling of 331322220021 in words is "three hundred thirty-one billion, three hundred twenty-two million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 13 39 169 199 507 597 2587 7761 33631 100893 3283897 9851691 42690661 128071983 554978593 653495503 1664935779 1960486509 8495441539 25486324617 110440740007 331322220021