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20330312142330 = 234525099150793
BaseRepresentation
bin1001001111101100001010…
…00010001000110111111010
32122222120002102000220120000
410213312011002020313322
510131042434402023310
6111123341053413430
74165550041634121
oct447660502106772
978876072026500
1020330312142330
116529045215533
12234419849a276
13b461a9067228
14503dc705cab8
15253c8877a4c0
hex127d85088dfa

20330312142330 has 40 divisors (see below), whose sum is σ = 54665950429332. Its totient is φ = 5421416571072.

The previous prime is 20330312142313. The next prime is 20330312142347. The reversal of 20330312142330 is 3324121303302.

20330312142330 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 0 + 312 + 14 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (20330312142313) and next prime (20330312142347).

It can be written as a sum of positive squares in 2 ways, for example, as 19431989197929 + 898322944401 = 4408173^2 + 947799^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20330312142294 and 20330312142303.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12549574587 + ... + 12549576206.

Almost surely, 220330312142330 is an apocalyptic number.

20330312142330 is an abundant number, since it is smaller than the sum of its proper divisors (34335638287002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20330312142330 is a wasteful number, since it uses less digits than its factorization.

20330312142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099150812 (or 25099150803 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20330312142330 its reverse (3324121303302), we get a palindrome (23654433445632).

The spelling of 20330312142330 in words is "twenty trillion, three hundred thirty billion, three hundred twelve million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 25099150793 50198301586 75297452379 125495753965 150594904758 225892357137 250991507930 376487261895 451784714274 677677071411 752974523790 1129461785685 1355354142822 2033031214233 2258923571370 3388385357055 4066062428466 6776770714110 10165156071165 20330312142330