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212414030420 = 225611031690387
BaseRepresentation
bin1100010111010011011…
…1001110001001010100
3202022021111110202210212
43011310313032021110
511440010442433140
6241325345504552
721226550316344
oct3056467161124
9668244422725
10212414030420
11820a2200a79
1235201042158
13170521984c7
14a3d0ab6d24
1557d322a765
hex3174dce254

212414030420 has 48 divisors (see below), whose sum is σ = 457784116608. Its totient is φ = 82761298560.

The previous prime is 212414030351. The next prime is 212414030429. The reversal of 212414030420 is 24030414212.

212414030420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2124140304203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414030429) 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 15 ways as a sum of consecutive naturals, for example, 719534 + ... + 970853.

It is an arithmetic number, because the mean of its divisors is an integer number (9537169096).

Almost surely, 2212414030420 is an apocalyptic number.

212414030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414030420 is an abundant number, since it is smaller than the sum of its proper divisors (245370086188).

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

212414030420 is a wasteful number, since it uses less digits than its factorization.

212414030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690560 (or 1690558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 212414030420 its reverse (24030414212), we get a palindrome (236444444632).

The spelling of 212414030420 in words is "two hundred twelve billion, four hundred fourteen million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 103 122 206 244 305 412 515 610 1030 1220 2060 6283 12566 25132 31415 62830 125660 1690387 3380774 6761548 8451935 16903870 33807740 103113607 174109861 206227214 348219722 412454428 515568035 696439444 870549305 1031136070 1741098610 2062272140 3482197220 10620701521 21241403042 42482806084 53103507605 106207015210 212414030420