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20330111214 = 2337223433557
BaseRepresentation
bin10010111011110001…
…001110000011101110
31221110211200122201000
4102323301032003232
5313114002024324
613201200501130
71316541044160
oct227361160356
957424618630
1020330111214
1186928aa506
123b3461a7a6
131bbcbb920a
14dac096930
157dec269c9
hex4bbc4e0ee

20330111214 has 128 divisors (see below), whose sum is σ = 52076666880. Its totient is φ = 5758843392.

The previous prime is 20330111213. The next prime is 20330111287. The reversal of 20330111214 is 41211103302.

20330111214 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36499024 + ... + 36499580.

It is an arithmetic number, because the mean of its divisors is an integer number (406848960).

Almost surely, 220330111214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330111214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26038333440).

20330111214 is an abundant number, since it is smaller than the sum of its proper divisors (31746555666).

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

20330111214 is a wasteful number, since it uses less digits than its factorization.

20330111214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20330111214 its reverse (41211103302), we get a palindrome (61541214516).

The spelling of 20330111214 in words is "twenty billion, three hundred thirty million, one hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 223 378 433 446 557 669 866 1114 1299 1338 1561 1671 2007 2598 3031 3122 3342 3897 3899 4014 4683 5013 6021 6062 7794 7798 9093 9366 10026 11691 11697 12042 14049 15039 18186 23382 23394 27279 28098 30078 35091 42147 54558 70182 81837 84294 96559 105273 124211 163674 193118 210546 241181 248422 289677 372633 482362 579354 675913 723543 745266 869031 869477 1117899 1351826 1447086 1688267 1738062 1738954 2027739 2170629 2235798 2607093 2608431 3353697 3376534 4055478 4341258 5064801 5214186 5216862 6083217 6511887 6707394 7825293 10129602 12166434 13023774 15194403 15650586 18249651 23475879 30388806 36499302 45583209 46951758 53783363 91166418 107566726 161350089 322700178 376483541 484050267 752967082 968100534 1129450623 1452150801 2258901246 2904301602 3388351869 6776703738 10165055607 20330111214