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210020431985 = 57213400116481
BaseRepresentation
bin1100001110011000110…
…0010111100001110001
3202002002200111101000222
43003212030113201301
511420110212310420
6240252042422425
721113334134300
oct3034614274161
9662080441028
10210020431985
1181084071051
1234853501a15
1316a60311580
14a244c42437
1556e301b225
hex30e6317871

210020431985 has 48 divisors (see below), whose sum is σ = 315821095632. Its totient is φ = 132894720000.

The previous prime is 210020431931. The next prime is 210020431991. The reversal of 210020431985 is 589134020012.

It can be written as a sum of positive squares in 8 ways, for example, as 68572230769 + 141448201216 = 261863^2 + 376096^2 .

It is not a de Polignac number, because 210020431985 - 222 = 210016237681 is a prime.

It is a super-2 number, since 2×2100204319852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 12734945 + ... + 12751425.

It is an arithmetic number, because the mean of its divisors is an integer number (6579606159).

Almost surely, 2210020431985 is an apocalyptic number.

It is an amenable number.

210020431985 is a deficient number, since it is larger than the sum of its proper divisors (105800663647).

210020431985 is a wasteful number, since it uses less digits than its factorization.

210020431985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20514 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 210020431985 its reverse (589134020012), we get a palindrome (799154451997).

The spelling of 210020431985 in words is "two hundred ten billion, twenty million, four hundred thirty-one thousand, nine hundred eighty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 4001 16481 20005 28007 52013 82405 115367 140035 196049 214253 260065 364091 576835 807569 980245 1071265 1499771 1820455 2548637 4037845 7498855 10498397 12743185 52491985 65940481 329702405 461583367 857226253 2307916835 3231083569 4286131265 6000583771 16155417845 30002918855 42004086397 210020431985