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211144123229 = 13194431929649
BaseRepresentation
bin1100010010100100101…
…0111010001101011101
3202011222222220210122012
43010221022322031131
511424410343420404
6240555343201005
721153230302124
oct3045112721535
9664888823565
10211144123229
11816003979a6
1234b078a6165
1316bac068830
14a31018aabb
15575b9d1a6e
hex31292ba35d

211144123229 has 16 divisors (see below), whose sum is σ = 239894088000. Its totient is φ = 184227353856.

The previous prime is 211144123171. The next prime is 211144123243. The reversal of 211144123229 is 922321441112.

211144123229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211144123229 - 216 = 211144057693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211144123195 and 211144123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211144923229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 855404 + ... + 1074245.

It is an arithmetic number, because the mean of its divisors is an integer number (14993380500).

Almost surely, 2211144123229 is an apocalyptic number.

It is an amenable number.

211144123229 is a deficient number, since it is larger than the sum of its proper divisors (28749964771).

211144123229 is a wasteful number, since it uses less digits than its factorization.

211144123229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930124.

The product of its digits is 6912, while the sum is 32.

The spelling of 211144123229 in words is "two hundred eleven billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred twenty-nine".

Divisors: 1 13 19 247 443 5759 8417 109421 1929649 25085437 36663331 476623303 854834507 11112848591 16241855633 211144123229