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21244214334213 = 33135322310314967
BaseRepresentation
bin1001101010010010011011…
…10110010101001100000101
32210012221000211020111212000
410311021031312111030011
510241031122332143323
6113103242441215513
74321562302250253
oct465111566251405
983187024214760
1021244214334213
116850691179902
122471330491599
13bb1422aa8280
1453632293b5d3
1526c926519e43
hex13524dd95305

21244214334213 has 128 divisors (see below), whose sum is σ = 34728904949760. Its totient is φ = 12754223089920.

The previous prime is 21244214334199. The next prime is 21244214334281. The reversal of 21244214334213 is 31243341244212.

21244214334213 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 2 + 1 + 433 + 4 + 213 = 666.

It is not a de Polignac number, because 21244214334213 - 217 = 21244214203141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21244214324213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4277069056 + ... + 4277074022.

It is an arithmetic number, because the mean of its divisors is an integer number (271319569920).

Almost surely, 221244214334213 is an apocalyptic number.

It is an amenable number.

21244214334213 is a deficient number, since it is larger than the sum of its proper divisors (13484690615547).

21244214334213 is a wasteful number, since it uses less digits than its factorization.

21244214334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6290 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 21244214334213 its reverse (31243341244212), we get a palindrome (52487555578425).

The spelling of 21244214334213 in words is "twenty-one trillion, two hundred forty-four billion, two hundred fourteen million, three hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 53 117 159 223 351 477 669 689 1031 1431 2007 2067 2899 3093 4967 6021 6201 8697 9279 11819 13403 14901 18603 26091 27837 35457 40209 44703 54643 64571 78273 106371 120627 134109 153647 163929 193713 229913 263251 319113 361881 460941 491787 581139 689739 710359 789753 1107641 1382823 1475361 1743417 2069217 2131077 2369259 2988869 3322923 3422263 4148469 5120977 6207651 6393231 7107777 8966607 9968769 10266789 12185389 14399333 15362931 19179693 26899821 29906307 30800367 36556167 43197999 46088793 58704973 66572701 80699463 92401101 109668501 129593997 138266379 158410057 176114919 199718103 271411781 329005503 388781991 475230171 528344757 599154309 763164649 814235343 1141977871 1425690513 1585034271 1797462927 2289493947 2442706029 3425933613 3528353153 4277071539 6868481841 7328118087 10277800839 10585059459 14845712323 20605445523 30833402517 31755178377 44537136969 60524827163 95265535131 133611410907 181574481489 400834232721 544723444467 786822753119 1634170333401 2360468259357 7081404778071 21244214334213