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211421340333 = 32731312138839
BaseRepresentation
bin1100010011100110110…
…0011010001010101101
3202012201022112220000100
43010321230122022231
511430442330342313
6241043045021313
721163134512220
oct3047154321255
9665638486010
10211421340333
1181732920245
1234b846b4839
1316c2461a618
14a338d0d5b7
155775ee0173
hex3139b1a2ad

211421340333 has 48 divisors (see below), whose sum is σ = 350456354560. Its totient is φ = 120313320192.

The previous prime is 211421340311. The next prime is 211421340341. The reversal of 211421340333 is 333043124112.

It is a happy number.

211421340333 is a `hidden beast` number, since 2 + 1 + 14 + 213 + 403 + 33 = 666.

211421340333 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 211421340333 - 217 = 211421209261 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211421340297 and 211421340306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211421340133) 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 47 ways as a sum of consecutive naturals, for example, 23914728 + ... + 23923566.

Almost surely, 2211421340333 is an apocalyptic number.

It is an amenable number.

211421340333 is a deficient number, since it is larger than the sum of its proper divisors (139035014227).

211421340333 is a wasteful number, since it uses less digits than its factorization.

211421340333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 211421340333 its reverse (333043124112), we get a palindrome (544464464445).

The spelling of 211421340333 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred forty thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 63 313 939 1213 2191 2817 3639 6573 8491 8839 10917 19719 25473 26517 61873 76419 79551 185619 379669 556857 1139007 2657683 2766607 3417021 7973049 8299821 10721707 19366249 23919147 24899463 32165121 58098747 75051949 96495363 174296241 225155847 675467541 3355894291 10067682873 23491260037 30203048619 70473780111 211421340333