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21130320042 = 23313251119921
BaseRepresentation
bin10011101011011101…
…110001100010101010
32000112121102110212000
4103223131301202222
5321233330220132
613412424031430
71345425520416
oct235335614252
960477373760
1021130320042
118a63573217
124118602576
131cb9913170
141046477d46
1583a0e087c
hex4eb7718aa

21130320042 has 64 divisors (see below), whose sum is σ = 50770177920. Its totient is φ = 6475680000.

The previous prime is 21130320007. The next prime is 21130320061. The reversal of 21130320042 is 24002303112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21130319997 and 21130320024.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116242 + ... + 236162.

It is an arithmetic number, because the mean of its divisors is an integer number (793284030).

Almost surely, 221130320042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130320042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25385088960).

21130320042 is an abundant number, since it is smaller than the sum of its proper divisors (29639857878).

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

21130320042 is a wasteful number, since it uses less digits than its factorization.

21130320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120196 (or 120190 counting only the distinct ones).

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

Adding to 21130320042 its reverse (24002303112), we get a palindrome (45132623154).

The spelling of 21130320042 in words is "twenty-one billion, one hundred thirty million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 251 351 502 702 753 1506 2259 3263 4518 6526 6777 9789 13554 19578 29367 58734 88101 119921 176202 239842 359763 719526 1079289 1558973 2158578 3117946 3237867 4676919 6475734 9353838 14030757 28061514 30100171 42092271 60200342 84184542 90300513 180601026 270901539 391302223 541803078 782604446 812704617 1173906669 1625409234 2347813338 3521720007 7043440014 10565160021 21130320042