Search a number
-
+
212850058212 = 22321137123111801
BaseRepresentation
bin1100011000111011011…
…0100010001111100100
3202100101212221021111100
43012032312202033210
511441404103330322
6241440523240100
721243423433401
oct3061666421744
9670355837440
10212850058212
11822a6344120
1235303079030
13170c161260c
14a4329792a8
15580b658dac
hex318eda23e4

212850058212 has 144 divisors (see below), whose sum is σ = 603354495744. Its totient is φ = 62700480000.

The previous prime is 212850058189. The next prime is 212850058231.

212850058212 is a `hidden beast` number, since 2 + 1 + 28 + 50 + 0 + 582 + 1 + 2 = 666.

212850058212 is nontrivially palindromic in base 10.

212850058212 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 (36).

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, 18030712 + ... + 18042512.

It is an arithmetic number, because the mean of its divisors is an integer number (4189961776).

Almost surely, 2212850058212 is an apocalyptic number.

212850058212 is a gapful number since it is divisible by the number (22) 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 212850058212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301677247872).

212850058212 is an abundant number, since it is smaller than the sum of its proper divisors (390504437532).

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

212850058212 is a wasteful number, since it uses less digits than its factorization.

212850058212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 212850058212 in words is "two hundred twelve billion, eight hundred fifty million, fifty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1231 1332 1628 2442 2462 3663 3693 4884 4924 7326 7386 11079 11801 13541 14652 14772 22158 23602 27082 35403 40623 44316 45547 47204 54164 70806 81246 91094 106209 121869 129811 136641 141612 162492 182188 212418 243738 259622 273282 389433 409923 424836 436637 487476 501017 519244 546564 778866 819846 873274 1002034 1168299 1309911 1503051 1557732 1639692 1746548 2004068 2336598 2619822 3006102 3929733 4509153 4673196 4803007 5239644 6012204 7859466 9018306 9606014 14409021 14527031 15718932 18036612 19212028 28818042 29054062 43227063 43581093 57636084 58108124 86454126 87162186 130743279 159797341 172908252 174324372 261486558 319594682 479392023 522973116 537500147 639189364 958784046 1075000294 1438176069 1612500441 1917568092 2150000588 2876352138 3225000882 4837501323 5752704276 5912501617 6450001764 9675002646 11825003234 17737504851 19350005292 23650006468 35475009702 53212514553 70950019404 106425029106 212850058212