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21231021330 = 232561263397
BaseRepresentation
bin10011110001011101…
…111010110100010010
32000210121220122001100
4103301131322310102
5321440120140310
613430422245230
71351060463241
oct236135726422
960717818040
1021231021330
1190053a3622
124146286816
132004740c1c
1410559ac958
15843d82ec0
hex4f177ad12

21231021330 has 72 divisors (see below), whose sum is σ = 56121304356. Its totient is φ = 5568704640.

The previous prime is 21231021281. The next prime is 21231021337. The reversal of 21231021330 is 3312013212.

21231021330 is a `hidden beast` number, since 2 + 1 + 2 + 310 + 21 + 330 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45927729 + 21185093601 = 6777^2 + 145551^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21231021337) 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 35 ways as a sum of consecutive naturals, for example, 303192 + ... + 366588.

Almost surely, 221231021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28060652178).

21231021330 is an abundant number, since it is smaller than the sum of its proper divisors (34890283026).

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

21231021330 is a wasteful number, since it uses less digits than its factorization.

21231021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63532 (or 63468 counting only the distinct ones).

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

Adding to 21231021330 its reverse (3312013212), we get a palindrome (24543034542).

The spelling of 21231021330 in words is "twenty-one billion, two hundred thirty-one million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 3721 5490 7442 11163 18605 22326 33489 37210 55815 63397 66978 111630 126794 167445 190191 316985 334890 380382 570573 633970 950955 1141146 1901910 2852865 3867217 5705730 7734434 11601651 19336085 23203302 34804953 38672170 58008255 69609906 116016510 174024765 235900237 348049530 471800474 707700711 1179501185 1415401422 2123102133 2359002370 3538503555 4246204266 7077007110 10615510665 21231021330