Search a number
-
+
1011300000 = 253553371
BaseRepresentation
bin111100010001110…
…011011010100000
32121110221100210120
4330101303122200
54032343100000
6244203400240
734026623334
oct7421633240
92543840716
101011300000
11479941727
12242823080
13131695689
149844d7c4
155dbb46a0
hex3c4736a0

1011300000 has 144 divisors (see below), whose sum is σ = 3319100064. Its totient is φ = 269600000.

The previous prime is 1011299999. The next prime is 1011300007. The reversal of 1011300000 is 31101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1011300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298315 + ... + 301685.

It is an arithmetic number, because the mean of its divisors is an integer number (23049306).

Almost surely, 21011300000 is an apocalyptic number.

1011300000 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 1011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659550032).

1011300000 is an abundant number, since it is smaller than the sum of its proper divisors (2307800064).

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

1011300000 is an frugal number, since it uses more digits than its factorization.

1011300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1011300000 is about 31800.9433822332. The cubic root of 1011300000 is about 1003.7525672911.

Adding to 1011300000 its reverse (31101), we get a palindrome (1011331101).

The spelling of 1011300000 in words is "one billion, eleven million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3371 3750 4000 5000 6000 6250 6742 7500 9375 10000 10113 12000 12500 13484 15000 16855 18750 20000 20226 25000 26968 30000 33710 37500 40452 50000 50565 53936 60000 67420 75000 80904 84275 100000 101130 107872 134840 150000 161808 168550 202260 252825 269680 300000 323616 337100 404520 421375 505650 539360 674200 809040 842750 1011300 1264125 1348400 1618080 1685500 2022600 2106875 2528250 2696800 3371000 4045200 4213750 5056500 6320625 6742000 8090400 8427500 10113000 10534375 12641250 13484000 16855000 20226000 21068750 25282500 31603125 33710000 40452000 42137500 50565000 63206250 67420000 84275000 101130000 126412500 168550000 202260000 252825000 337100000 505650000 1011300000