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212143312220301 = 33711195370580801
BaseRepresentation
bin110000001111000101110110…
…110001000011000010001101
31000211010200222011221021012000
4300033011312301003002031
5210301224000412022201
62031105143041502513
762453564020156350
oct6017056661030215
91024120864837160
10212143312220301
1161660523202440
121b962966041a39
13914b04a811107
143a55b10aac297
15197d503899d86
hexc0f176c4308d

212143312220301 has 64 divisors (see below), whose sum is σ = 412460605593600. Its totient is φ = 104404090752000.

The previous prime is 212143312220227. The next prime is 212143312220429. The reversal of 212143312220301 is 103022213341212.

212143312220301 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 331 + 2 + 2 + 20 + 301 = 666.

It is not a de Polignac number, because 212143312220301 - 219 = 212143311696013 is a prime.

It is a super-2 number, since 2×2121433122203012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212143312220201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2685250900 + ... + 2685329901.

It is an arithmetic number, because the mean of its divisors is an integer number (6444696962400).

Almost surely, 2212143312220301 is an apocalyptic number.

212143312220301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212143312220301 is a deficient number, since it is larger than the sum of its proper divisors (200317293373299).

212143312220301 is a wasteful number, since it uses less digits than its factorization.

212143312220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370580847 (or 5370580841 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212143312220301 its reverse (103022213341212), we get a palindrome (315165525561513).

The spelling of 212143312220301 in words is "two hundred twelve trillion, one hundred forty-three billion, three hundred twelve million, two hundred twenty thousand, three hundred one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 5370580801 16111742403 37594065607 48335227209 59076388811 102041035219 112782196821 145005681627 177229166433 306123105657 338346590463 413534721677 531687499299 714287246533 918369316971 1015039771389 1122451387409 1240604165031 1595062497897 2142861739599 2755107950913 3367354162227 3721812495093 6428585218797 7857159711863 10102062486681 11165437485279 19285755656391 23571479135589 30306187460043 70714437406767 212143312220301