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1320003100 = 2252137912853
BaseRepresentation
bin100111010101101…
…1010011000011100
310101222211002211201
41032223122120130
510200410044400
6334552125244
744465561353
oct11653323034
93358732751
101320003100
1161811a959
1230a096824
1318061c930
14c744a99a
157ad4206a
hex4eada61c

1320003100 has 72 divisors (see below), whose sum is σ = 3124036160. Its totient is φ = 481178880.

The previous prime is 1320003089. The next prime is 1320003127. The reversal of 1320003100 is 13000231.

It is a super-2 number, since 2×13200031002 = 3484816368019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96274 + ... + 109126.

Almost surely, 21320003100 is an apocalyptic number.

1320003100 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 1320003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562018080).

1320003100 is an abundant number, since it is smaller than the sum of its proper divisors (1804033060).

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

1320003100 is a wasteful number, since it uses less digits than its factorization.

1320003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12959 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1320003100 is about 36331.8469114908. The cubic root of 1320003100 is about 1096.9621692182.

Adding to 1320003100 its reverse (13000231), we get a palindrome (1333003331).

The spelling of 1320003100 in words is "one billion, three hundred twenty million, three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1580 1975 2054 3950 4108 5135 7900 10270 12853 20540 25675 25706 51350 51412 64265 102700 128530 167089 257060 321325 334178 642650 668356 835445 1015387 1285300 1670890 2030774 3341780 4061548 4177225 5076935 8354450 10153870 13200031 16708900 20307740 25384675 26400062 50769350 52800124 66000155 101538700 132000310 264000620 330000775 660001550 1320003100