Search a number
-
+
21214626335133 = 3711241227897059
BaseRepresentation
bin1001101001011011010100…
…10001000100100110011101
32210010002122210012102111020
410310231222101010212131
510240040023320211013
6113041510443514353
74316464134355260
oct464555221044635
983102583172436
1021214626335133
11683a088558200
1224676535289b9
13bab6b8b96cca
14534b170dccd7
1526bc93b75623
hex134b6a44499d

21214626335133 has 96 divisors (see below), whose sum is σ = 36560089359360. Its totient is φ = 10704413702400.

The previous prime is 21214626335101. The next prime is 21214626335167. The reversal of 21214626335133 is 33153362641212.

It is not a de Polignac number, because 21214626335133 - 25 = 21214626335101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214626337133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23200558 + ... + 24097616.

It is an arithmetic number, because the mean of its divisors is an integer number (380834264160).

Almost surely, 221214626335133 is an apocalyptic number.

It is an amenable number.

21214626335133 is a deficient number, since it is larger than the sum of its proper divisors (15345463024227).

21214626335133 is a wasteful number, since it uses less digits than its factorization.

21214626335133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897359 (or 897348 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

Adding to 21214626335133 its reverse (33153362641212), we get a palindrome (54367988976345).

The spelling of 21214626335133 in words is "twenty-one trillion, two hundred fourteen billion, six hundred twenty-six million, three hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 41 77 121 123 227 231 287 363 451 681 847 861 1353 1589 2497 2541 3157 4767 4961 7491 9307 9471 14883 17479 27467 27921 34727 52437 65149 82401 102377 104181 192269 195447 307131 576807 716639 897059 1126147 2149917 2691177 3378441 6279413 7883029 9867649 18838239 23649087 29602947 36779419 69073543 108544139 110338257 203632393 207220629 257455933 325632417 404573609 610897179 759808973 772367799 1213720827 1425426751 2239956323 2279426919 2832015263 4276280253 4450309699 6719868969 8348928113 8496045789 13350929097 15679694261 24639519553 25046784339 31152167893 47039082783 58442496791 73918558659 91838209243 93456503679 172476636871 175327490373 275514627729 517429910613 642867464701 1010220301673 1928602394103 3030660905019 7071542111711 21214626335133