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211434262050 = 235211604721191
BaseRepresentation
bin1100010011101001110…
…1101100111000100010
3202012202012212101021110
43010322131230320202
511431004132341200
6241044230004150
721163352400654
oct3047235547042
9665665771243
10211434262050
118173a146550
1234b88aa6656
1316c271c2ccb
14a33a9146d4
1557771e3b50
hex313a76ce22

211434262050 has 96 divisors (see below), whose sum is σ = 572147380224. Its totient is φ = 51245896000.

The previous prime is 211434262049. The next prime is 211434262079. The reversal of 211434262050 is 50262434112.

211434262050 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211434261999 and 211434262017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9966955 + ... + 9988145.

It is an arithmetic number, because the mean of its divisors is an integer number (5959868544).

Almost surely, 2211434262050 is an apocalyptic number.

211434262050 is an abundant number, since it is smaller than the sum of its proper divisors (360713118174).

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

211434262050 is a wasteful number, since it uses less digits than its factorization.

211434262050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27264 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 211434262050 its reverse (50262434112), we get a palindrome (261696696162).

The spelling of 211434262050 in words is "two hundred eleven billion, four hundred thirty-four million, two hundred sixty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 6047 12094 18141 21191 30235 36282 42382 60470 63573 66517 90705 105955 127146 133034 151175 181410 199551 211910 233101 302350 317865 332585 399102 453525 466202 529775 635730 665170 699303 907050 997755 1059550 1165505 1398606 1589325 1662925 1995510 2331010 3178650 3325850 3496515 4988775 5827525 6993030 9977550 11655050 17482575 34965150 128141977 256283954 384425931 640709885 768851862 1281419770 1409561747 1922129655 2819123494 3203549425 3844259310 4228685241 6407098850 7047808735 8457370482 9610648275 14095617470 19221296550 21143426205 35239043675 42286852410 70478087350 105717131025 211434262050