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21201110010 = 23254347911437
BaseRepresentation
bin10011101111101011…
…110100001111111010
32000201112121222102200
4103233223310033322
5321404441010020
613423433211030
71350245314233
oct235753641772
960645558380
1021201110010
118a9a523823
124138260a76
131ccb49a412
141051a2408a
15841425590
hex4efaf43fa

21201110010 has 96 divisors (see below), whose sum is σ = 56527511040. Its totient is φ = 5510139264.

The previous prime is 21201109961. The next prime is 21201110027. The reversal of 21201110010 is 1001110212.

It is a happy number.

It is a super-2 number, since 2×212011100102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21201109974 and 21201110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848012 + ... + 1859448.

It is an arithmetic number, because the mean of its divisors is an integer number (588828240).

Almost surely, 221201110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28263755520).

21201110010 is an abundant number, since it is smaller than the sum of its proper divisors (35326401030).

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

21201110010 is a wasteful number, since it uses less digits than its factorization.

21201110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21201110010 its reverse (1001110212), we get a palindrome (22202220222).

The spelling of 21201110010 in words is "twenty-one billion, two hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 479 645 774 958 1290 1437 1935 2395 2874 3870 4311 4790 7185 8622 11437 14370 20597 21555 22874 34311 41194 43110 57185 61791 68622 102933 102985 114370 123582 171555 185373 205866 205970 308955 343110 370746 491791 514665 617910 926865 983582 1029330 1475373 1853730 2458955 2950746 4426119 4917910 5478323 7376865 8852238 10956646 14753730 16434969 22130595 27391615 32869938 44261190 49304907 54783230 82174845 98609814 164349690 235567889 246524535 471135778 493049070 706703667 1177839445 1413407334 2120111001 2355678890 3533518335 4240222002 7067036670 10600555005 21201110010