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213201275130 = 23259724421681
BaseRepresentation
bin1100011010001111001…
…0010100100011111010
3202101022100210221112100
43012203302110203322
511443114011301010
6241535431124230
721255216636414
oct3064362244372
9671270727470
10213201275130
118246661a638
12353a0813676
131714930368c
14a4674819b4
15582c3d32c0
hex31a3c948fa

213201275130 has 48 divisors (see below), whose sum is σ = 560038011624. Its totient is φ = 56267550720.

The previous prime is 213201275123. The next prime is 213201275173. The reversal of 213201275130 is 31572102312.

213201275130 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 127 + 513 + 0 = 666.

213201275130 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128287897929 + 84913377201 = 358173^2 + 291399^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213201275094 and 213201275103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12202111 + ... + 12219570.

Almost surely, 2213201275130 is an apocalyptic number.

213201275130 is an abundant number, since it is smaller than the sum of its proper divisors (346836736494).

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

213201275130 is a wasteful number, since it uses less digits than its factorization.

213201275130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24421791 (or 24421788 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 213201275130 its reverse (31572102312), we get a palindrome (244773377442).

The spelling of 213201275130 in words is "two hundred thirteen billion, two hundred one million, two hundred seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 24421681 48843362 73265043 122108405 146530086 219795129 244216810 366325215 439590258 732650430 1098975645 2197951290 2368903057 4737806114 7106709171 11844515285 14213418342 21320127513 23689030570 35533545855 42640255026 71067091710 106600637565 213201275130