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1020111300 = 2233521329063
BaseRepresentation
bin111100110011011…
…010100111000100
32122002112000122000
4330303122213010
54042122030200
6245120305300
734164542265
oct7463324704
92562460560
101020111300
1148390a79a
12245772230
1313345c170
14996a496c
155e855300
hex3ccda9c4

1020111300 has 144 divisors (see below), whose sum is σ = 3531857280. Its totient is φ = 251095680.

The previous prime is 1020111293. The next prime is 1020111329. The reversal of 1020111300 is 31110201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20569 + ... + 49631.

Almost surely, 21020111300 is an apocalyptic number.

1020111300 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 1020111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765928640).

1020111300 is an abundant number, since it is smaller than the sum of its proper divisors (2511745980).

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

1020111300 is a wasteful number, since it uses less digits than its factorization.

1020111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29099 (or 29086 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1020111300 is about 31939.1812669016. The cubic root of 1020111300 is about 1006.6593216623.

Adding to 1020111300 its reverse (31110201), we get a palindrome (1051221501).

The spelling of 1020111300 in words is "one billion, twenty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 11700 17550 29063 35100 58126 87189 116252 145315 174378 261567 290630 348756 377819 435945 523134 581260 726575 755638 784701 871890 1046268 1133457 1307835 1453150 1511276 1569402 1743780 1889095 2179725 2266914 2615670 2906300 3138804 3400371 3778190 3923505 4359450 4533828 5231340 5667285 6539175 6800742 7556380 7847010 8718900 9445475 10201113 11334570 13078350 13601484 15694020 17001855 18890950 19617525 20402226 22669140 26156700 28336425 34003710 37781900 39235050 40804452 51005565 56672850 68007420 78470100 85009275 102011130 113345700 170018550 204022260 255027825 340037100 510055650 1020111300