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213030360040 = 23541149871789
BaseRepresentation
bin1100011001100110011…
…0010101001111101000
3202100212110012120002211
43012121212111033220
511442241233010130
6241510443534504
721251043116611
oct3063146251750
9670773176084
10213030360040
11823890a25a3
123535352a434
131711ca909a4
14a44c8b0c08
15581c3c1a2a
hex31999953e8

213030360040 has 64 divisors (see below), whose sum is σ = 494304930000. Its totient is φ = 82575759360.

The previous prime is 213030360031. The next prime is 213030360073. The reversal of 213030360040 is 40063030312.

213030360040 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 8 ways, for example, as 52240587844 + 160789772196 = 228562^2 + 400986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213030359993 and 213030360020.

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 15 ways as a sum of consecutive naturals, for example, 191535 + ... + 680254.

Almost surely, 2213030360040 is an apocalyptic number.

213030360040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213030360040 is an abundant number, since it is smaller than the sum of its proper divisors (281274569960).

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

213030360040 is a wasteful number, since it uses less digits than its factorization.

213030360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871990 (or 871986 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213030360040 its reverse (40063030312), we get a palindrome (253093390352).

The spelling of 213030360040 in words is "two hundred thirteen billion, thirty million, three hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 149 164 205 298 328 410 596 745 820 1192 1490 1640 2980 5960 6109 12218 24436 30545 48872 61090 122180 244360 871789 1743578 3487156 4358945 6974312 8717890 17435780 34871560 35743349 71486698 129896561 142973396 178716745 259793122 285946792 357433490 519586244 649482805 714866980 1039172488 1298965610 1429733960 2597931220 5195862440 5325759001 10651518002 21303036004 26628795005 42606072008 53257590010 106515180020 213030360040