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211441143434031 = 32724771950169481
BaseRepresentation
bin110000000100110111111010…
…001111101100101100101111
31000201122120112211111002222200
4300010313322033230230233
5210203222430204342111
62025410415331512543
762352055434025650
oct6004677217545457
91021576484432880
10211441143434031
116140a75a2335a5
121b86a863158753
1390c9a77c510b4
143a2db3d733527
15196a1091de256
hexc04dfa3ecb2f

211441143434031 has 48 divisors (see below), whose sum is σ = 349209543778368. Its totient is φ = 120766800960000.

The previous prime is 211441143434021. The next prime is 211441143434063. The reversal of 211441143434031 is 130434341144112.

211441143434031 is a `hidden beast` number, since 2 + 1 + 1 + 441 + 143 + 4 + 3 + 40 + 31 = 666.

It is not a de Polignac number, because 211441143434031 - 223 = 211441135045423 is a prime.

It is a super-2 number, since 2×2114411434340312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211441143434021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043115811 + ... + 3043185291.

It is an arithmetic number, because the mean of its divisors is an integer number (7275198828716).

Almost surely, 2211441143434031 is an apocalyptic number.

211441143434031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211441143434031 is a deficient number, since it is larger than the sum of its proper divisors (137768400344337).

211441143434031 is a wasteful number, since it uses less digits than its factorization.

211441143434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91472 (or 91469 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 211441143434031 its reverse (130434341144112), we get a palindrome (341875484578143).

The spelling of 211441143434031 in words is "two hundred eleven trillion, four hundred forty-one billion, one hundred forty-three million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 63 2477 7431 17339 19501 22293 52017 58503 69481 136507 156051 175509 208443 409521 486367 625329 1228563 1459101 4377303 48303977 144911931 172104437 338127839 434735793 516313311 1014383517 1204731059 1354948981 1548939933 3043150551 3614193177 4064846943 9484642867 10842579531 12194540829 28453928601 85361785803 3356208625937 10068625877811 23493460381559 30205877633433 70480381144677 211441143434031