Search a number
-
+
212401330512 = 2437632146817
BaseRepresentation
bin1100010111010000011…
…0110001100101010000
3202022020121120112210220
43011310012301211100
511434444220034022
6241324213353040
721226334343360
oct3056406614520
9668217515726
10212401330512
1182096017388
12351b8938780
131704c66ca77
14a3cd12c9a0
1557d206c85c
hex31741b1950

212401330512 has 40 divisors (see below), whose sum is σ = 627089643456. Its totient is φ = 60686094336.

The previous prime is 212401330507. The next prime is 212401330517. The reversal of 212401330512 is 215033104212.

It is an interprime number because it is at equal distance from previous prime (212401330507) and next prime (212401330517).

It is a super-3 number, since 3×2124013305123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212401330517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316073073 + ... + 316073744.

Almost surely, 2212401330512 is an apocalyptic number.

It is an amenable number.

212401330512 is an abundant number, since it is smaller than the sum of its proper divisors (414688312944).

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

212401330512 is a wasteful number, since it uses less digits than its factorization.

212401330512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632146835 (or 632146829 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 212401330512 its reverse (215033104212), we get a palindrome (427434434724).

The spelling of 212401330512 in words is "two hundred twelve billion, four hundred one million, three hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 632146817 1264293634 1896440451 2528587268 3792880902 4425027719 5057174536 7585761804 8850055438 10114349072 13275083157 15171523608 17700110876 26550166314 30343047216 35400221752 53100332628 70800443504 106200665256 212401330512