Search a number
-
+
1081011300 = 22352171271669
BaseRepresentation
bin100000001101110…
…1110110001100100
32210100010001201120
41000123232301210
54203214330200
6255133453540
735534305305
oct10033566144
92710101646
101081011300
11505225876
122620412b0
13142c62975
14a37d87ac
1564d849a0
hex406eec64

1081011300 has 144 divisors (see below), whose sum is σ = 3339786240. Its totient is φ = 269015040.

The previous prime is 1081011287. The next prime is 1081011311. The reversal of 1081011300 is 31101801.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1081011300.

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, 646866 + ... + 648534.

It is an arithmetic number, because the mean of its divisors is an integer number (23192960).

Almost surely, 21081011300 is an apocalyptic number.

1081011300 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 1081011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669893120).

1081011300 is an abundant number, since it is smaller than the sum of its proper divisors (2258774940).

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

1081011300 is a wasteful number, since it uses less digits than its factorization.

1081011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1081011300 is about 32878.7362895839. The cubic root of 1081011300 is about 1026.3057085968.

The spelling of 1081011300 in words is "one billion, eighty-one million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 127 150 170 204 254 255 300 340 381 425 508 510 635 762 850 1020 1270 1275 1524 1669 1700 1905 2159 2540 2550 3175 3338 3810 4318 5007 5100 6350 6477 6676 7620 8345 8636 9525 10014 10795 12700 12954 16690 19050 20028 21590 25035 25908 28373 32385 33380 38100 41725 43180 50070 53975 56746 64770 83450 85119 100140 107950 113492 125175 129540 141865 161925 166900 170238 211963 215900 250350 283730 323850 340476 423926 425595 500700 567460 635889 647700 709325 847852 851190 1059815 1271778 1418650 1702380 2119630 2127975 2543556 2837300 3179445 3603371 4239260 4255950 5299075 6358890 7206742 8511900 10598150 10810113 12717780 14413484 15897225 18016855 21196300 21620226 31794450 36033710 43240452 54050565 63588900 72067420 90084275 108101130 180168550 216202260 270252825 360337100 540505650 1081011300