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212105303125 = 5567873697
BaseRepresentation
bin1100010110001001110…
…1100001010001010101
3202021110222112210120121
43011202131201101111
511433342424200000
6241235000431541
721216111220642
oct3054235412125
9667428483517
10212105303125
1181a53a06651
12351357785b1
1317003233231
14a3a1ab0dc9
1557b6095b1a
hex3162761455

212105303125 has 12 divisors (see below), whose sum is σ = 265114664388. Its totient is φ = 169684240000.

The previous prime is 212105303107. The next prime is 212105303147. The reversal of 212105303125 is 521303501212.

It can be written as a sum of positive squares in 6 ways, for example, as 161082625201 + 51022677924 = 401351^2 + 225882^2 .

It is not a de Polignac number, because 212105303125 - 227 = 211971085397 is a prime.

It is a super-2 number, since 2×2121053031252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212105303125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33933724 + ... + 33939973.

It is an arithmetic number, because the mean of its divisors is an integer number (22092888699).

Almost surely, 2212105303125 is an apocalyptic number.

212105303125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212105303125 is a deficient number, since it is larger than the sum of its proper divisors (53009361263).

212105303125 is an frugal number, since it uses more digits than its factorization.

212105303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67873722 (or 67873702 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 212105303125 its reverse (521303501212), we get a palindrome (733408804337).

The spelling of 212105303125 in words is "two hundred twelve billion, one hundred five million, three hundred three thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 3125 67873697 339368485 1696842425 8484212125 42421060625 212105303125