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3130133220 = 223451932181
BaseRepresentation
bin1011101010010010…
…0000101011100100
322002010220020120000
42322210200223210
522402303230340
61234333341300
7140365456554
oct27244405344
98063806500
103130133220
111366973465
12734337830
133ab648846
142199dd164
15134bebd30
hexba920ae4

3130133220 has 60 divisors (see below), whose sum is σ = 9819348924. Its totient is φ = 834701760.

The previous prime is 3130133219. The next prime is 3130133221. The reversal of 3130133220 is 223310313.

3130133220 is a `hidden beast` number, since 31 + 301 + 332 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3130133219) and next prime (3130133221).

It can be written as a sum of positive squares in 2 ways, for example, as 2487814884 + 642318336 = 49878^2 + 25344^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3130133193 and 3130133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130133221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 964471 + ... + 967710.

Almost surely, 23130133220 is an apocalyptic number.

3130133220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3130133220 is an abundant number, since it is smaller than the sum of its proper divisors (6689215704).

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

3130133220 is a wasteful number, since it uses less digits than its factorization.

3130133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932202 (or 1932191 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130133220 is about 55947.5935139305. The cubic root of 3130133220 is about 1462.8089445946.

Adding to 3130133220 its reverse (223310313), we get a palindrome (3353443533).

The spelling of 3130133220 in words is "three billion, one hundred thirty million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1932181 3864362 5796543 7728724 9660905 11593086 17389629 19321810 23186172 28982715 34779258 38643620 52168887 57965430 69558516 86948145 104337774 115930860 156506661 173896290 208675548 260844435 313013322 347792580 521688870 626026644 782533305 1043377740 1565066610 3130133220