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1201021020 = 22345977643
BaseRepresentation
bin100011110010110…
…0010000001011100
310002200221012010000
41013211202001130
54424430133040
6315102014300
741522340003
oct10745420134
93080835100
101201021020
11566a43961
12296277390
13161a91134
14b5717c3a
157068d130
hex4796205c

1201021020 has 120 divisors (see below), whose sum is σ = 3806987184. Its totient is φ = 316929024.

The previous prime is 1201021013. The next prime is 1201021037. The reversal of 1201021020 is 201201021.

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 = 1201020993 and 1201021011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153319 + ... + 160961.

Almost surely, 21201021020 is an apocalyptic number.

1201021020 is a gapful number since it is divisible by the number (10) 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 1201021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903493592).

1201021020 is an abundant number, since it is smaller than the sum of its proper divisors (2605966164).

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

1201021020 is a wasteful number, since it uses less digits than its factorization.

1201021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201021020 is about 34655.7501722297. The cubic root of 1201021020 is about 1062.9598714256.

Adding to 1201021020 its reverse (201201021), we get a palindrome (1402222041).

The spelling of 1201021020 in words is "one billion, two hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 270 291 324 388 405 485 540 582 810 873 970 1164 1455 1620 1746 1940 2619 2910 3492 4365 5238 5820 7643 7857 8730 10476 13095 15286 15714 17460 22929 26190 30572 31428 38215 39285 45858 52380 68787 76430 78570 91716 114645 137574 152860 157140 206361 229290 275148 343935 412722 458580 619083 687870 741371 825444 1031805 1238166 1375740 1482742 2063610 2224113 2476332 2965484 3095415 3706855 4127220 4448226 6190830 6672339 7413710 8896452 11120565 12381660 13344678 14827420 20017017 22241130 26689356 33361695 40034034 44482260 60051051 66723390 80068068 100085085 120102102 133446780 200170170 240204204 300255255 400340340 600510510 1201021020