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1012021020 = 223359471979
BaseRepresentation
bin111100010100100…
…011011100011100
32121112021222212000
4330110203130130
54033034133040
6244231042300
734036015413
oct7424433434
92545258760
101012021020
1147a29440a
12242b10390
1313188890a
149859a47a
155dca8130
hex3c52371c

1012021020 has 96 divisors (see below), whose sum is σ = 3153427200. Its totient is φ = 269451072.

The previous prime is 1012021019. The next prime is 1012021027. The reversal of 1012021020 is 201202101.

1012021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1012020993 and 1012021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021027) 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, 510391 + ... + 512369.

It is an arithmetic number, because the mean of its divisors is an integer number (32848200).

Almost surely, 21012021020 is an apocalyptic number.

1012021020 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 1012021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576713600).

1012021020 is an abundant number, since it is smaller than the sum of its proper divisors (2141406180).

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

1012021020 is a wasteful number, since it uses less digits than its factorization.

1012021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

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

The square root of 1012021020 is about 31812.2778184776. The cubic root of 1012021020 is about 1003.9910569406.

Adding to 1012021020 its reverse (201202101), we get a palindrome (1213223121).

The spelling of 1012021020 in words is "one billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 947 1894 1979 2841 3788 3958 4735 5682 5937 7916 8523 9470 9895 11364 11874 14205 17046 17811 18940 19790 23748 25569 28410 29685 34092 35622 39580 42615 51138 53433 56820 59370 71244 85230 89055 102276 106866 118740 127845 170460 178110 213732 255690 267165 356220 511380 534330 1068660 1874113 3748226 5622339 7496452 9370565 11244678 16867017 18741130 22489356 28111695 33734034 37482260 50601051 56223390 67468068 84335085 101202102 112446780 168670170 202404204 253005255 337340340 506010510 1012021020