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20320330212 = 223271311715297
BaseRepresentation
bin10010111011001011…
…111010000111100100
31221110011021201200200
4102323023322013210
5313104001031322
613200211110500
71316361646140
oct227313720744
957404251620
1020320330212
118688329936
123b312a2430
131bbab73240
14daaa6c220
157dde438ac
hex4bb2fa1e4

20320330212 has 144 divisors (see below), whose sum is σ = 63284737152. Its totient is φ = 5353620480.

The previous prime is 20320330207. The next prime is 20320330223. The reversal of 20320330212 is 21203302302.

It is a happy number.

20320330212 is a `hidden beast` number, since 2 + 0 + 320 + 330 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 3833548 + ... + 3838844.

Almost surely, 220320330212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31642368576).

20320330212 is an abundant number, since it is smaller than the sum of its proper divisors (42964406940).

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

20320330212 is a wasteful number, since it uses less digits than its factorization.

20320330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20320330212 its reverse (21203302302), we get a palindrome (41523632514).

The spelling of 20320330212 in words is "twenty billion, three hundred twenty million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1171 1638 2342 3276 3513 4684 5297 7026 8197 10539 10594 14052 15223 15891 16394 21078 21188 24591 30446 31782 32788 37079 42156 45669 47673 49182 60892 63564 68861 73773 74158 91338 95346 98364 106561 111237 137007 137722 147546 148316 182676 190692 206583 213122 222474 274014 275444 295092 319683 333711 413166 426244 444948 482027 548028 619749 639366 667422 826332 959049 964054 1239498 1278732 1334844 1446081 1918098 1928108 2478996 2892162 3836196 4338243 5784324 6202787 8676486 12405574 17352972 18608361 24811148 37216722 43419509 55825083 74433444 80636231 86839018 111650166 130258527 161272462 173678036 223300332 241908693 260517054 322544924 390775581 483817386 521034108 564453617 725726079 781551162 967634772 1128907234 1451452158 1563102324 1693360851 2257814468 2902904316 3386721702 5080082553 6773443404 10160165106 20320330212