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211531443030 = 233524110693041
BaseRepresentation
bin1100010100000001000…
…0011010101101010110
3202012222222201200112000
43011000100122231112
511431204022134110
6241102020540130
721165642412305
oct3050020325526
9665888650460
10211531443030
1181789a92006
1234bb5551646
1316c4138a64b
14a3497b043c
1557809dd1c0
hex314041ab56

211531443030 has 128 divisors (see below), whose sum is σ = 567140745600. Its totient is φ = 56103321600.

The previous prime is 211531443007. The next prime is 211531443031. The reversal of 211531443030 is 30344135112.

It is a happy number.

211531443030 is a `hidden beast` number, since 211 + 5 + 3 + 1 + 443 + 0 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211531442985 and 211531443003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211531443031) 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, 69558310 + ... + 69561350.

It is an arithmetic number, because the mean of its divisors is an integer number (4430787075).

Almost surely, 2211531443030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211531443030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283570372800).

211531443030 is an abundant number, since it is smaller than the sum of its proper divisors (355609302570).

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

211531443030 is a wasteful number, since it uses less digits than its factorization.

211531443030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 211531443030 its reverse (30344135112), we get a palindrome (241875578142).

The spelling of 211531443030 in words is "two hundred eleven billion, five hundred thirty-one million, four hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 241 270 482 723 1069 1205 1446 2138 2169 2410 3041 3207 3615 4338 5345 6082 6414 6507 7230 9123 9621 10690 10845 13014 15205 16035 18246 19242 21690 27369 28863 30410 32070 32535 45615 48105 54738 57726 65070 82107 91230 96210 136845 144315 164214 257629 273690 288630 410535 515258 732881 772887 821070 1288145 1465762 1545774 2198643 2318661 2576290 3250829 3664405 3864435 4397286 4637322 6501658 6595929 6955983 7328810 7728870 9752487 10993215 11593305 13191858 13911966 16254145 19504974 19787787 21986430 23186610 29257461 32508290 32979645 34779915 39575574 48762435 58514922 65959290 69559830 87772383 97524870 98938935 146287305 175544766 197877870 292574610 438861915 783449789 877723830 1566899578 2350349367 3917248945 4700698734 7051048101 7834497890 11751746835 14102096202 21153144303 23503493670 35255240505 42306288606 70510481010 105765721515 211531443030