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211424421033 = 327171929358273
BaseRepresentation
bin1100010011100111100…
…0001010010010101001
3202012201112100101221100
43010321320022102221
511430444122433113
6241043235032013
721163202632650
oct3047170122251
9665645311840
10211424421033
1181734634881
1234b8573b609
1316c25158917
14a3394b2197
1557763ecd73
hex3139e0a4a9

211424421033 has 96 divisors (see below), whose sum is σ = 402413356800. Its totient is φ = 104007794688.

The previous prime is 211424421011. The next prime is 211424421049. The reversal of 211424421033 is 330124424112.

211424421033 is a `hidden beast` number, since 2 + 114 + 2 + 442 + 103 + 3 = 666.

It is not a de Polignac number, because 211424421033 - 214 = 211424404649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211424420988 and 211424421006.

It is not an unprimeable number, because it can be changed into a prime (211424421233) 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 95 ways as a sum of consecutive naturals, for example, 410985 + ... + 769257.

It is an arithmetic number, because the mean of its divisors is an integer number (4191805800).

Almost surely, 2211424421033 is an apocalyptic number.

It is an amenable number.

211424421033 is a deficient number, since it is larger than the sum of its proper divisors (190988935767).

211424421033 is a wasteful number, since it uses less digits than its factorization.

211424421033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358351 (or 358348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211424421033 its reverse (330124424112), we get a palindrome (541548845145).

The spelling of 211424421033 in words is "two hundred eleven billion, four hundred twenty-four million, four hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 17 19 21 29 51 57 63 87 119 133 153 171 203 261 323 357 399 493 551 609 969 1071 1197 1479 1653 1827 2261 2907 3451 3857 4437 4959 6783 9367 10353 11571 20349 28101 31059 34713 65569 84303 196707 358273 590121 1074819 2507911 3224457 6090641 6807187 7523733 10389917 18271923 20421561 22571199 31169751 42634487 47650309 54815769 61264683 72729419 93509253 115722179 127903461 142950927 176628589 197408423 218188257 347166537 383710383 428852781 529885767 592225269 654564771 810055253 1041499611 1236400123 1381858961 1589657301 1776675807 2430165759 3355943191 3709200369 4145576883 7290497277 10067829573 11127601107 12436730649 23491602337 30203488719 70474807011 211424421033