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2123213130 = 2325171387721
BaseRepresentation
bin111111010001101…
…1010100101001010
312110222012101212100
41332203122211022
513322020310010
6550403454230
7103421004513
oct17643324512
95428171770
102123213130
1199a5534a5
124b3087376
1327ab5793c
14161dada0a
15c66002c0
hex7e8da94a

2123213130 has 48 divisors (see below), whose sum is σ = 5845085064. Its totient is φ = 532884480.

The previous prime is 2123213111. The next prime is 2123213137. The reversal of 2123213130 is 313123212.

2123213130 is a `hidden beast` number, since 212 + 321 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1639521081 + 483692049 = 40491^2 + 21993^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2123213137) 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, 692331 + ... + 695390.

Almost surely, 22123213130 is an apocalyptic number.

2123213130 is an abundant number, since it is smaller than the sum of its proper divisors (3721871934).

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

2123213130 is a wasteful number, since it uses less digits than its factorization.

2123213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387751 (or 1387748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123213130 is about 46078.3368840500. The cubic root of 2123213130 is about 1285.2803377324.

Adding to 2123213130 its reverse (313123212), we get a palindrome (2436336342).

The spelling of 2123213130 in words is "two billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1387721 2775442 4163163 6938605 8326326 12489489 13877210 20815815 23591257 24978978 41631630 47182514 62447445 70773771 117956285 124894890 141547542 212321313 235912570 353868855 424642626 707737710 1061606565 2123213130