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1330233100 = 225276131153
BaseRepresentation
bin100111101001001…
…1011111100001100
310102201001211202121
41033102123330030
510211014424400
6335555302324
744651536420
oct11722337414
93381054677
101330233100
116229778a9
123115aa9a4
131827920a1
14c8950b80
157bbb321a
hex4f49bf0c

1330233100 has 72 divisors (see below), whose sum is σ = 3353167328. Its totient is φ = 448588800.

The previous prime is 1330233097. The next prime is 1330233101. The reversal of 1330233100 is 13320331.

It is a super-2 number, since 2×13302331002 = 3539040200671220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27124 + ... + 58276.

Almost surely, 21330233100 is an apocalyptic number.

1330233100 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 1330233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676583664).

1330233100 is an abundant number, since it is smaller than the sum of its proper divisors (2022934228).

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

1330233100 is a wasteful number, since it uses less digits than its factorization.

1330233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31235 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1330233100 is about 36472.3607681214. The cubic root of 1330233100 is about 1099.7886921932.

Adding to 1330233100 its reverse (13320331), we get a palindrome (1343553431).

The spelling of 1330233100 in words is "one billion, three hundred thirty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 21350 31153 42700 62306 124612 155765 218071 311530 436142 623060 778825 872284 1090355 1557650 1900333 2180710 3115300 3800666 4361420 5451775 7601332 9501665 10903550 13302331 19003330 21807100 26604662 38006660 47508325 53209324 66511655 95016650 133023310 190033300 266046620 332558275 665116550 1330233100