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21201221020 = 2257322313859
BaseRepresentation
bin10011101111101100…
…001111010110011100
32000201112211121201011
4103233230033112130
5321410003033040
613423435425004
71350246256000
oct235754172634
960645747634
1021201221020
118a9a59a171
1241382b5164
131ccb508ac5
141051a52700
158414483ea
hex4efb0f59c

21201221020 has 96 divisors (see below), whose sum is σ = 52157952000. Its totient is φ = 7235871552.

The previous prime is 21201220981. The next prime is 21201221021. The reversal of 21201221020 is 2012210212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522851 + ... + 1536709.

It is an arithmetic number, because the mean of its divisors is an integer number (543312000).

Almost surely, 221201221020 is an apocalyptic number.

21201221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078976000).

21201221020 is an abundant number, since it is smaller than the sum of its proper divisors (30956730980).

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

21201221020 is a wasteful number, since it uses less digits than its factorization.

21201221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21201221020 its reverse (2012210212), we get a palindrome (23213431232).

The spelling of 21201221020 in words is "twenty-one billion, two hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 223 245 343 446 490 686 892 980 1115 1372 1561 1715 2230 3122 3430 4460 6244 6860 7805 10927 13859 15610 21854 27718 31220 43708 54635 55436 69295 76489 97013 109270 138590 152978 194026 218540 277180 305956 382445 388052 485065 679091 764890 970130 1358182 1529780 1940260 2716364 3090557 3395455 4753637 6181114 6790910 9507274 12362228 13581820 15452785 19014548 21633899 23768185 30905570 43267798 47536370 61811140 86535596 95072740 108169495 151437293 216338990 302874586 432677980 605749172 757186465 1060061051 1514372930 2120122102 3028745860 4240244204 5300305255 10600610510 21201221020