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20332112222321 = 172241992929401
BaseRepresentation
bin1001001111101111100000…
…10100111001100001110001
32122222201201212012110002022
410213313300110321201301
510131110131212103241
6111124235435401225
74165642460233544
oct447676024714161
978881655173068
1020332112222321
116529889324249
1223445bb2b3215
13b46404c84813
1450411815685b
15253d417ec54b
hex127df0539871

20332112222321 has 24 divisors (see below), whose sum is σ = 21691014426840. Its totient is φ = 19054135296000.

The previous prime is 20332112222269. The next prime is 20332112222329. The reversal of 20332112222321 is 12322221123302.

It can be written as a sum of positive squares in 12 ways, for example, as 2316374417296 + 18015737805025 = 1521964^2 + 4244495^2 .

It is not a de Polignac number, because 20332112222321 - 230 = 20331038480497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20332112222329) 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, 691530221 + ... + 691559621.

It is an arithmetic number, because the mean of its divisors is an integer number (903792267785).

Almost surely, 220332112222321 is an apocalyptic number.

It is an amenable number.

20332112222321 is a deficient number, since it is larger than the sum of its proper divisors (1358902204519).

20332112222321 is a wasteful number, since it uses less digits than its factorization.

20332112222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39605 (or 39588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 20332112222321 its reverse (12322221123302), we get a palindrome (32654333345623).

The spelling of 20332112222321 in words is "twenty trillion, three hundred thirty-two billion, one hundred twelve million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 17 241 289 4097 9929 29401 69649 168793 499817 2392889 2869481 7085641 8496889 40679113 120455897 291922529 691544921 2047750249 4962682993 70353329489 84365610881 1196006601313 20332112222321