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211404323421 = 321571973971913
BaseRepresentation
bin1100010011100010101…
…1011111101001011101
3202012200010112100012100
43010320223133221131
511430424001322141
6241041240155313
721162540046224
oct3047053375135
9665603470170
10211404323421
1181724258185
1234b7aa68b39
1316c20c3cc45
14a33695dcbb
15577477d0b6
hex3138adfa5d

211404323421 has 48 divisors (see below), whose sum is σ = 309806578224. Its totient is φ = 138904077312.

The previous prime is 211404323419. The next prime is 211404323423. The reversal of 211404323421 is 124323404112.

211404323421 is a `hidden beast` number, since 2 + 1 + 1 + 404 + 3 + 234 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (211404323419) and next prime (211404323423).

It can be written as a sum of positive squares in 8 ways, for example, as 50438871396 + 160965452025 = 224586^2 + 401205^2 .

It is not a de Polignac number, because 211404323421 - 21 = 211404323419 is a prime.

It is a super-2 number, since 2×2114043234212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404323423) 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, 110508361 + ... + 110510273.

It is an arithmetic number, because the mean of its divisors is an integer number (6454303713).

Almost surely, 2211404323421 is an apocalyptic number.

It is an amenable number.

211404323421 is a deficient number, since it is larger than the sum of its proper divisors (98402254803).

211404323421 is a wasteful number, since it uses less digits than its factorization.

211404323421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2667 counting only the distinct ones).

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

Adding to 211404323421 its reverse (124323404112), we get a palindrome (335727727533).

The spelling of 211404323421 in words is "two hundred eleven billion, four hundred four million, three hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 157 197 397 471 591 1191 1413 1773 1913 3573 5739 17217 30929 62329 78209 92787 186987 234627 278361 300341 376861 560961 703881 759461 901023 1130583 2278383 2703069 3391749 6835149 12278813 36836439 59167177 110509317 119235377 149613817 177501531 357706131 448841451 532504593 1073118393 1346524353 23489369269 70468107807 211404323421