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1330001100 = 2233522811753
BaseRepresentation
bin100111101000110…
…0011010011001100
310102200122001112000
41033101203103030
510210440013400
6335550312300
744646552141
oct11721432314
93380561460
101330001100
1162282956a
123114b8690
131827105cc
14c88d03c8
157bb69600
hex4f4634cc

1330001100 has 144 divisors (see below), whose sum is σ = 4293371040. Its totient is φ = 353203200.

The previous prime is 1330001041. The next prime is 1330001131. The reversal of 1330001100 is 11000331.

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, 757824 + ... + 759576.

Almost surely, 21330001100 is an apocalyptic number.

1330001100 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 1330001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146685520).

1330001100 is an abundant number, since it is smaller than the sum of its proper divisors (2963369940).

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

1330001100 is a wasteful number, since it uses less digits than its factorization.

1330001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2044 counting only the distinct ones).

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

The square root of 1330001100 is about 36469.1801388515. The cubic root of 1330001100 is about 1099.7247520684.

Adding to 1330001100 its reverse (11000331), we get a palindrome (1341001431).

The spelling of 1330001100 in words is "one billion, three hundred thirty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 281 300 450 540 562 675 843 900 1124 1350 1405 1686 1753 2529 2700 2810 3372 3506 4215 5058 5259 5620 7012 7025 7587 8430 8765 10116 10518 12645 14050 15174 15777 16860 17530 21036 21075 25290 26295 28100 30348 31554 35060 37935 42150 43825 47331 50580 52590 63108 63225 75870 78885 84300 87650 94662 105180 126450 131475 151740 157770 175300 189324 189675 236655 252900 262950 315540 379350 394425 473310 492593 525900 758700 788850 946620 985186 1183275 1477779 1577700 1970372 2366550 2462965 2955558 4433337 4733100 4925930 5911116 7388895 8866674 9851860 12314825 13300011 14777790 17733348 22166685 24629650 26600022 29555580 36944475 44333370 49259300 53200044 66500055 73888950 88666740 110833425 133000110 147777900 221666850 266000220 332500275 443333700 665000550 1330001100