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20102230302 = 23721131200513
BaseRepresentation
bin10010101110001011…
…111011000100011110
31220212221220002212020
4102232023323010132
5312132132332202
613122420321010
71311103065300
oct225613730436
956787802766
1020102230302
118586204180
123a90243166
131b8491c63b
14d89ad7970
157c9c115bc
hex4ae2fb11e

20102230302 has 96 divisors (see below), whose sum is σ = 52666205184. Its totient is φ = 5052902400.

The previous prime is 20102230273. The next prime is 20102230307. The reversal of 20102230302 is 20303220102.

It is a super-2 number, since 2×201022303022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102230307) 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 47 ways as a sum of consecutive naturals, for example, 3 + ... + 200510.

It is an arithmetic number, because the mean of its divisors is an integer number (548606304).

Almost surely, 220102230302 is an apocalyptic number.

20102230302 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 20102230302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26333102592).

20102230302 is an abundant number, since it is smaller than the sum of its proper divisors (32563974882).

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

20102230302 is a wasteful number, since it uses less digits than its factorization.

20102230302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200574 (or 200567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20102230302 its reverse (20303220102), we get a palindrome (40405450404).

The spelling of 20102230302 in words is "twenty billion, one hundred two million, two hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 4557 4774 7161 9114 14322 16709 33418 50127 100254 200513 401026 601539 1203078 1403591 2205643 2807182 4210773 4411286 6215903 6616929 8421546 9825137 12431806 13233858 15439501 18647709 19650274 29475411 30879002 37295418 43511321 46318503 58950822 68374933 87022642 92637006 108076507 130533963 136749866 205124799 216153014 261067926 304579247 324229521 410249598 478624531 609158494 648459042 913737741 957249062 1435873593 1827475482 2871747186 3350371717 6700743434 10051115151 20102230302