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211404342303 = 327112923111701
BaseRepresentation
bin1100010011100010101…
…1100100010000011111
3202012200010120022002200
43010320223210100133
511430424002423203
6241041240422543
721162540155250
oct3047053442037
9665603508080
10211404342303
1181724270390
1234b7aa77a53
1316c20c4870b
14a336966b27
1557747839a3
hex3138ae441f

211404342303 has 144 divisors (see below), whose sum is σ = 407045363712. Its totient is φ = 102604320000.

The previous prime is 211404342269. The next prime is 211404342349. The reversal of 211404342303 is 303243404112.

211404342303 is a `hidden beast` number, since 2 + 1 + 14 + 0 + 4 + 342 + 303 = 666.

It is not a de Polignac number, because 211404342303 - 29 = 211404341791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404302303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18061353 + ... + 18073053.

Almost surely, 2211404342303 is an apocalyptic number.

211404342303 is a deficient number, since it is larger than the sum of its proper divisors (195641021409).

211404342303 is a wasteful number, since it uses less digits than its factorization.

211404342303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 211404342303 its reverse (303243404112), we get a palindrome (514647746415).

The spelling of 211404342303 in words is "two hundred eleven billion, four hundred four million, three hundred forty-two thousand, three hundred three".

Divisors: 1 3 7 9 11 21 29 31 33 63 77 87 93 99 203 217 231 261 279 319 341 609 651 693 841 899 957 1023 1827 1953 2233 2387 2523 2697 2871 3069 5887 6293 6699 7161 7569 8091 9251 9889 11701 17661 18879 20097 21483 26071 27753 29667 35103 52983 56637 64757 69223 78213 81907 83259 89001 105309 128711 182497 194271 207669 234639 245721 286781 339329 362731 386133 547491 582813 623007 737163 860343 900977 1017987 1088193 1158399 1642473 2007467 2375303 2539117 2581029 2702931 3053961 3264579 3732619 3990041 6022401 7125909 7617351 8108793 9840541 10519199 11197857 11970123 18067203 21377727 22852053 26128333 27930287 29521623 31557597 33593571 35910369 68883787 73634393 78384999 83790861 88564869 94672791 108245951 115711189 206651361 220903179 235154997 251372583 305056771 324737853 347133567 619954083 662709537 757721657 809978323 915170313 974213559 1041400701 2135397397 2273164971 2429934969 2745510939 3355624481 6406192191 6819494913 7289804907 10066873443 19218576573 23489371367 30200620329 70468114101 211404342303