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211431444021 = 357229612307
BaseRepresentation
bin1100010011101001001…
…0111100111000110101
3202012202000120012200000
43010322102330320311
511431002422202041
6241044045341513
721163316423100
oct3047222747065
9665660505600
10211431444021
11817385a12a6
1234b87b67899
1316c26747435
14a33a3bd737
155776d38bb6
hex313a4bce35

211431444021 has 72 divisors (see below), whose sum is σ = 381124991520. Its totient is φ = 116651640672.

The previous prime is 211431444019. The next prime is 211431444043. The reversal of 211431444021 is 120444134112.

211431444021 is a `hidden beast` number, since 2 + 114 + 3 + 144 + 402 + 1 = 666.

It is not a de Polignac number, because 211431444021 - 21 = 211431444019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431444011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39150 + ... + 651456.

It is an arithmetic number, because the mean of its divisors is an integer number (5293402660).

Almost surely, 2211431444021 is an apocalyptic number.

211431444021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211431444021 is a deficient number, since it is larger than the sum of its proper divisors (169693547499).

211431444021 is an equidigital number, since it uses as much as digits as its factorization.

211431444021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612365 (or 612346 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211431444021 its reverse (120444134112), we get a palindrome (331875578133).

The spelling of 211431444021 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred forty-four thousand, twenty-one".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 243 261 441 567 609 783 1323 1421 1701 1827 2349 3969 4263 5481 7047 11907 12789 16443 38367 49329 115101 345303 612307 1836921 4286149 5510763 12858447 16532289 17756903 30003043 38575341 49596867 53270709 90009129 115726023 124298321 148790601 159812127 270027387 347178069 372894963 479436381 810082161 870088247 1041534207 1118684889 1438309143 2430246483 2610264741 3356054667 4314927429 7290739449 7830794223 10068164001 23492382669 30204492003 70477148007 211431444021