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21020020020 = 223557160917
BaseRepresentation
bin10011100100111001…
…000000110100110100
32000020220212122200000
4103210321000310310
5321022111120040
613353443551300
71342616136126
oct234471006464
960226778600
1021020020020
118a0728717a
1240a768b530
131c9cb0438c
141035965216
158305a4130
hex4e4e40d34

21020020020 has 144 divisors (see below), whose sum is σ = 67054635648. Its totient is φ = 5526299520.

The previous prime is 21020020019. The next prime is 21020020027. The reversal of 21020020020 is 2002002012.

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 = 21020019984 and 21020020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020020027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314602 + ... + 375518.

It is an arithmetic number, because the mean of its divisors is an integer number (465657192).

Almost surely, 221020020020 is an apocalyptic number.

21020020020 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 21020020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33527317824).

21020020020 is an abundant number, since it is smaller than the sum of its proper divisors (46034615628).

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

21020020020 is a wasteful number, since it uses less digits than its factorization.

21020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61012 (or 60998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21020020020 its reverse (2002002012), we get a palindrome (23022022032).

The spelling of 21020020020 in words is "twenty-one billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 243 270 284 324 355 405 426 486 540 639 710 810 852 972 1065 1215 1278 1420 1620 1917 2130 2430 2556 3195 3834 4260 4860 5751 6390 7668 9585 11502 12780 17253 19170 23004 28755 34506 38340 57510 60917 69012 86265 115020 121834 172530 182751 243668 304585 345060 365502 548253 609170 731004 913755 1096506 1218340 1644759 1827510 2193012 2741265 3289518 3655020 4325107 4934277 5482530 6579036 8223795 8650214 9868554 10965060 12975321 14802831 16447590 17300428 19737108 21625535 24671385 25950642 29605662 32895180 38925963 43251070 49342770 51901284 59211324 64876605 74014155 77851926 86502140 98685540 116777889 129753210 148028310 155703852 194629815 233555778 259506420 296056620 350333667 389259630 467111556 583889445 700667334 778519260 1051001001 1167778890 1401334668 1751668335 2102002002 2335557780 3503336670 4204004004 5255005005 7006673340 10510010010 21020020020