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21330213102 = 232113710727211
BaseRepresentation
bin10011110111011000…
…010011100011101110
32001001112120002120200
4103313120103203232
5322141013304402
613444324254330
71353403551132
oct236730234356
961045502520
1021330213102
1190563928a0
1241735413a6
13201c160893
141064c2d3c2
1584c92821c
hex4f76138ee

21330213102 has 96 divisors (see below), whose sum is σ = 52265326464. Its totient is φ = 6230001600.

The previous prime is 21330213101. The next prime is 21330213119. The reversal of 21330213102 is 20131203312.

21330213102 is a `hidden beast` number, since 2 + 1 + 330 + 21 + 310 + 2 = 666.

21330213102 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 (21330213101) 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, 770277 + ... + 797487.

It is an arithmetic number, because the mean of its divisors is an integer number (544430484).

Almost surely, 221330213102 is an apocalyptic number.

21330213102 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 21330213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26132663232).

21330213102 is an abundant number, since it is smaller than the sum of its proper divisors (30935113362).

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

21330213102 is a wasteful number, since it uses less digits than its factorization.

21330213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27374 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21330213102 its reverse (20131203312), we get a palindrome (41461416414).

It can be divided in two parts, 21330 and 213102, that added together give a palindrome (234432).

The spelling of 21330213102 in words is "twenty-one billion, three hundred thirty million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 107 111 198 214 222 321 333 407 642 666 814 963 1177 1221 1926 2354 2442 3531 3663 3959 7062 7326 7918 10593 11877 21186 23754 27211 35631 43549 54422 71262 81633 87098 130647 163266 244899 261294 299321 391941 489798 598642 783882 897963 1006807 1795926 2013614 2693889 2911577 3020421 5387778 5823154 6040842 8734731 9061263 11074877 17469462 18122526 22149754 26204193 32027347 33224631 52408386 64054694 66449262 96082041 99673893 107728349 192164082 199347786 215456698 288246123 323185047 576492246 646370094 969555141 1185011839 1939110282 2370023678 3555035517 7110071034 10665106551 21330213102