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212021212986 = 233111747446731
BaseRepresentation
bin1100010101110101110…
…0101111011100111010
3202021021010022120121000
43011131130233130322
511433204412303421
6241222354225430
721214040401122
oct3053534573472
9667233276530
10212021212986
1181a104a1470
1235111585276
1316cbb9a025b
14a394861c82
1557ad9d5226
hex315d72f73a

212021212986 has 128 divisors (see below), whose sum is σ = 555806085120. Its totient is φ = 59182790400.

The previous prime is 212021212981. The next prime is 212021212993. The reversal of 212021212986 is 689212120212.

It is a self number, because there is not a number n which added to its sum of digits gives 212021212986.

It is not an unprimeable number, because it can be changed into a prime (212021212981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251241 + ... + 697971.

It is an arithmetic number, because the mean of its divisors is an integer number (4342235040).

Almost surely, 2212021212986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021212986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277903042560).

212021212986 is an abundant number, since it is smaller than the sum of its proper divisors (343784872134).

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

212021212986 is a wasteful number, since it uses less digits than its factorization.

212021212986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446817 (or 446811 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 212021212986 in words is "two hundred twelve billion, twenty-one million, two hundred twelve thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 47 51 54 66 94 99 102 141 153 187 198 282 297 306 374 423 459 517 561 594 799 846 918 1034 1122 1269 1551 1598 1683 2397 2538 3102 3366 4653 4794 5049 7191 8789 9306 10098 13959 14382 17578 21573 26367 27918 43146 52734 79101 158202 237303 446731 474606 893462 1340193 2680386 4020579 4914041 7594427 8041158 9828082 12061737 14742123 15188854 20996357 22783281 24123474 29484246 41992714 44226369 45566562 62989071 68349843 83538697 88452738 125978142 132679107 136699686 167077394 188967213 205049529 230959927 250616091 265358214 356938069 377934426 410099058 461919854 501232182 566901639 692879781 713876138 751848273 1070814207 1133803278 1385759562 1503696546 2078639343 2141628414 2255544819 3212442621 3926318759 4157278686 4511089638 6235918029 6424885242 7852637518 9637327863 11778956277 12471836058 19274655726 23557912554 35336868831 70673737662 106010606493 212021212986