Search a number
-
+
1300331200 = 26527116101
BaseRepresentation
bin100110110000001…
…0111101011000000
310100121210200001211
41031200113223000
510130341044300
6333010335504
744136430030
oct11540275300
93317720054
101300331200
11608004093
1230358a594
1317952295c
14c49a98c0
15792584ba
hex4d817ac0

1300331200 has 84 divisors (see below), whose sum is σ = 3656748592. Its totient is φ = 445824000.

The previous prime is 1300331191. The next prime is 1300331213. The reversal of 1300331200 is 21330031.

It is a super-2 number, since 2×13003312002 = 3381722459386880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46851 + ... + 69250.

Almost surely, 21300331200 is an apocalyptic number.

1300331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300331200 is an abundant number, since it is smaller than the sum of its proper divisors (2356417392).

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

1300331200 is a wasteful number, since it uses less digits than its factorization.

1300331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116130 (or 116115 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300331200 is about 36060.1053797684. The cubic root of 1300331200 is about 1091.4855596329.

Adding to 1300331200 its reverse (21330031), we get a palindrome (1321661231).

The spelling of 1300331200 in words is "one billion, three hundred million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 116101 232202 464404 580505 812707 928808 1161010 1625414 1857616 2322020 2902525 3250828 3715232 4063535 4644040 5805050 6501656 7430464 8127070 9288080 11610100 13003312 16254140 18576160 20317675 23220200 26006624 32508280 37152320 40635350 46440400 52013248 65016560 81270700 92880800 130033120 162541400 185761600 260066240 325082800 650165600 1300331200