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212021021331 = 3272500396097
BaseRepresentation
bin1100010101110101110…
…0000000101010010011
3202021021002221211200200
43011131130000222103
511433204340140311
6241222350150243
721214035642300
oct3053534005223
9667232854620
10212021021331
1181a10380479
12351114b2383
1316cbb933c52
14a3948120a7
1557ad998556
hex315d700a93

212021021331 has 36 divisors (see below), whose sum is σ = 356327924472. Its totient is φ = 121129392384.

The previous prime is 212021021297. The next prime is 212021021357. The reversal of 212021021331 is 133120120212.

212021021331 is a `hidden beast` number, since 2 + 120 + 210 + 2 + 1 + 331 = 666.

It is not a de Polignac number, because 212021021331 - 217 = 212020890259 is a prime.

It is a super-2 number, since 2×2120210213312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212021021431) 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 35 ways as a sum of consecutive naturals, for example, 2158275 + ... + 2254371.

It is an arithmetic number, because the mean of its divisors is an integer number (9897997902).

Almost surely, 2212021021331 is an apocalyptic number.

212021021331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212021021331 is a deficient number, since it is larger than the sum of its proper divisors (144306903141).

212021021331 is a wasteful number, since it uses less digits than its factorization.

212021021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101120 (or 101110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021021331 its reverse (133120120212), we get a palindrome (345141141543).

The spelling of 212021021331 in words is "two hundred twelve billion, twenty-one million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5003 15009 35021 45027 96097 105063 245147 288291 315189 672679 735441 864873 2018037 2206323 4708753 6054111 14126259 42378777 480773291 1442319873 3365413037 4326959619 10096239111 23557891259 30288717333 70673673777 212021021331