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211192195253 = 13173753487313
BaseRepresentation
bin1100010010110000001…
…0010010100010110101
3202012010100101010001112
43010230002102202311
511430010200222003
6241004221404405
721154353016604
oct3045402224265
9665110333045
10211192195253
1181625541146
1234b1ba09705
1316bb8cca510
14a316701a3b
155760d2a3d8
hex312c0928b5

211192195253 has 32 divisors (see below), whose sum is σ = 251992018656. Its totient is φ = 175151628288.

The previous prime is 211192195223. The next prime is 211192195259. The reversal of 211192195253 is 352591291112.

It can be written as a sum of positive squares in 16 ways, for example, as 9992401444 + 201199793809 = 99962^2 + 448553^2 .

It is not a de Polignac number, because 211192195253 - 210 = 211192194229 is a prime.

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 211192195253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211192195259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189725 + ... + 677037.

It is an arithmetic number, because the mean of its divisors is an integer number (7874750583).

Almost surely, 2211192195253 is an apocalyptic number.

It is an amenable number.

211192195253 is a deficient number, since it is larger than the sum of its proper divisors (40799823403).

211192195253 is a wasteful number, since it uses less digits than its factorization.

211192195253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487433.

The product of its digits is 48600, while the sum is 41.

The spelling of 211192195253 in words is "two hundred eleven billion, one hundred ninety-two million, one hundred ninety-five thousand, two hundred fifty-three".

Divisors: 1 13 17 37 53 221 481 629 689 901 1961 8177 11713 25493 33337 433381 487313 6335069 8284321 18030581 25827589 107696173 234397553 306519877 335758657 439069013 955620793 3984758401 5707897169 12423070309 16245553481 211192195253