Search a number
-
+
212200320042 = 23241714049779
BaseRepresentation
bin1100010110100000011…
…1111110110000101010
3202021201121100011021200
43011220013332300222
511434041240220132
6241252233145030
721221343650124
oct3055007766052
9667647304250
10212200320042
1181aa2604227
123516155b176
1317019b20869
14a3b0566214
1557be5b3d7c
hex31681fec2a

212200320042 has 48 divisors (see below), whose sum is σ = 477614854080. Its totient is φ = 68036270400.

The previous prime is 212200320041. The next prime is 212200320049. The reversal of 212200320042 is 240023002212.

212200320042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212200319997 and 212200320024.

It is not an unprimeable number, because it can be changed into a prime (212200320041) by changing a digit.

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, 1972492 + ... + 2077287.

It is an arithmetic number, because the mean of its divisors is an integer number (9950309460).

Almost surely, 2212200320042 is an apocalyptic number.

212200320042 is an abundant number, since it is smaller than the sum of its proper divisors (265414534038).

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

212200320042 is a wasteful number, since it uses less digits than its factorization.

212200320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049899 (or 4049896 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212200320042 its reverse (240023002212), we get a palindrome (452223322254).

The spelling of 212200320042 in words is "two hundred twelve billion, two hundred million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 41 71 82 123 142 213 246 369 426 639 738 1278 2911 5822 8733 17466 26199 52398 4049779 8099558 12149337 24298674 36448011 72896022 166040939 287534309 332081878 498122817 575068618 862602927 996245634 1494368451 1725205854 2587808781 2988736902 5175617562 11788906669 23577813338 35366720007 70733440014 106100160021 212200320042