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20330214102 = 232113712721851
BaseRepresentation
bin10010111011110001…
…100111001011010110
31221110211212212211200
4102323301213023112
5313114013322402
613201203013330
71316541653142
oct227361471326
957424785750
1020330214102
11869296a840
123b3466a246
131bbcc23cb3
14dac0c2222
157dec4721c
hex4bbc672d6

20330214102 has 96 divisors (see below), whose sum is σ = 49742843904. Its totient is φ = 5946696000.

The previous prime is 20330214101. The next prime is 20330214127. The reversal of 20330214102 is 20141203302.

20330214102 is a `hidden beast` number, since 20 + 330 + 214 + 102 = 666.

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 (20330214101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919477 + ... + 941327.

It is an arithmetic number, because the mean of its divisors is an integer number (518154624).

Almost surely, 220330214102 is an apocalyptic number.

20330214102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330214102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871421952).

20330214102 is an abundant number, since it is smaller than the sum of its proper divisors (29412629802).

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

20330214102 is a wasteful number, since it uses less digits than its factorization.

20330214102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22034 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20330214102 its reverse (20141203302), we get a palindrome (40471417404).

It can be divided in two parts, 20330 and 214102, that added together give a palindrome (234432).

The spelling of 20330214102 in words is "twenty billion, three hundred thirty million, two hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 127 198 222 254 333 381 407 666 762 814 1143 1221 1397 2286 2442 2794 3663 4191 4699 7326 8382 9398 12573 14097 21851 25146 28194 42291 43702 51689 65553 84582 103378 131106 155067 196659 240361 310134 393318 465201 480722 721083 808487 930402 1442166 1616974 2163249 2425461 2775077 4326498 4850922 5550154 7276383 8325231 8893357 14552766 16650462 17786714 24975693 26680071 30525847 49951386 53360142 61051694 80040213 91577541 102677849 160080426 183155082 205355698 274732623 308033547 549465246 616067094 924100641 1129456339 1848201282 2258912678 3388369017 6776738034 10165107051 20330214102