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211444343253 = 321113958717137
BaseRepresentation
bin1100010011101100010…
…0001010000111010101
3202012202220211120002100
43010323010022013111
511431014222441003
6241045230032313
721163534156143
oct3047304120725
9665686746070
10211444343253
1181744901720
1234b90348699
1316c29312810
14a33bdba593
155778035ba3
hex313b10a1d5

211444343253 has 48 divisors (see below), whose sum is σ = 358873010496. Its totient is φ = 118271301120.

The previous prime is 211444343251. The next prime is 211444343261. The reversal of 211444343253 is 352343444112.

211444343253 is a `hidden beast` number, since 2 + 1 + 144 + 434 + 32 + 53 = 666.

It is not a de Polignac number, because 211444343253 - 21 = 211444343251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211444343251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12329901 + ... + 12347037.

It is an arithmetic number, because the mean of its divisors is an integer number (7476521052).

Almost surely, 2211444343253 is an apocalyptic number.

It is an amenable number.

211444343253 is a deficient number, since it is larger than the sum of its proper divisors (147428667243).

211444343253 is a wasteful number, since it uses less digits than its factorization.

211444343253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26751 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 211444343253 its reverse (352343444112), we get a palindrome (563787787365).

The spelling of 211444343253 in words is "two hundred eleven billion, four hundred forty-four million, three hundred forty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 9587 17137 28761 51411 86283 105457 124631 154233 188507 222781 316371 373893 565521 668343 949113 1121679 1370941 1696563 2005029 2450591 4112823 7351773 12338469 22055319 164292419 492877257 1478631771 1807216609 2135801447 5421649827 6407404341 16264949481 19222213023 23493815917 70481447751 211444343253