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213121302198 = 23719218177659
BaseRepresentation
bin1100011001111100000…
…1001111111010110110
3202101002210022220021220
43012133001033322312
511442433023132243
6241523453051210
721253226115240
oct3063701177266
9671083286256
10213121302198
1182425467802
1235379a86b06
131713588270c
14a45a9c5090
155825387783
hex319f04feb6

213121302198 has 96 divisors (see below), whose sum is σ = 516969573120. Its totient is φ = 57367517760.

The previous prime is 213121302187. The next prime is 213121302221. The reversal of 213121302198 is 891203121312.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705493 + ... + 2783151.

It is an arithmetic number, because the mean of its divisors is an integer number (5385099720).

Almost surely, 2213121302198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121302198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258484786560).

213121302198 is an abundant number, since it is smaller than the sum of its proper divisors (303848270922).

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

213121302198 is a wasteful number, since it uses less digits than its factorization.

213121302198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77890 (or 77871 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 213121302198 in words is "two hundred thirteen billion, one hundred twenty-one million, three hundred two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 181 266 361 362 399 543 722 798 1083 1086 1267 2166 2527 2534 3439 3801 5054 6878 7581 7602 10317 15162 20634 24073 48146 65341 72219 77659 130682 144438 155318 196023 232977 392046 457387 465954 543613 914774 1087226 1372161 1475521 1630839 2744322 2951042 3261678 4426563 8853126 10328647 14056279 20657294 28034899 28112558 30985941 42168837 56069798 61971882 84104697 84337674 98393953 168209394 196244293 196787906 267069301 295181859 392488586 534138602 588732879 590363718 801207903 1177465758 1602415806 1869485107 3738970214 5074316719 5608455321 10148633438 11216910642 15222950157 30445900314 35520217033 71040434066 106560651099 213121302198