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212423301420 = 2235111889170383
BaseRepresentation
bin1100010111010101101…
…0100101100100101100
3202022022010220210020020
43011311122211210230
511440020331121140
6241330320322140
721230022161451
oct3056532454454
9668263823206
10212423301420
11820a7463460
1235204173350
13170540932c5
14a3d200b828
1557d3e5c6d0
hex31756a592c

212423301420 has 96 divisors (see below), whose sum is σ = 649203932160. Its totient is φ = 51468994560.

The previous prime is 212423301413. The next prime is 212423301443. The reversal of 212423301420 is 24103324212.

It is a happy number.

212423301420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1161549 + ... + 1331931.

It is an arithmetic number, because the mean of its divisors is an integer number (6762540960).

Almost surely, 2212423301420 is an apocalyptic number.

212423301420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212423301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324601966080).

212423301420 is an abundant number, since it is smaller than the sum of its proper divisors (436780630740).

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

212423301420 is a wasteful number, since it uses less digits than its factorization.

212423301420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172295 (or 172293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212423301420 its reverse (24103324212), we get a palindrome (236526625632).

The spelling of 212423301420 in words is "two hundred twelve billion, four hundred twenty-three million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1889 3778 5667 7556 9445 11334 18890 20779 22668 28335 37780 41558 56670 62337 83116 103895 113340 124674 170383 207790 249348 311685 340766 415580 511149 623370 681532 851915 1022298 1246740 1703830 1874213 2044596 2555745 3407660 3748426 5111490 5622639 7496852 9371065 10222980 11245278 18742130 22490556 28113195 37484260 56226390 112452780 321853487 643706974 965560461 1287413948 1609267435 1931120922 3218534870 3540388357 3862241844 4827802305 6437069740 7080776714 9655604610 10621165071 14161553428 17701941785 19311209220 21242330142 35403883570 42484660284 53105825355 70807767140 106211650710 212423301420