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212303131201332 = 223241407335314709
BaseRepresentation
bin110000010001011010101100…
…101110000100111100110100
31000211200222111020112200211200
4300101122230232010330310
5210311333303041420312
62031310413445132500
762501252335121433
oct6021325456047464
91024628436480750
10212303131201332
1161712285917346
121b9899290ba130
13916013a40b102
143a5d75254111a
1519827594cc0dc
hexc116acb84f34

212303131201332 has 72 divisors (see below), whose sum is σ = 549879275279880. Its totient is φ = 69024715668480.

The previous prime is 212303131201321. The next prime is 212303131201333. The reversal of 212303131201332 is 233102131303212.

212303131201332 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 313 + 12 + 0 + 1 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7561202055696 + 204741929145636 = 2749764^2 + 14308806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212303131201296 and 212303131201305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212303131201333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11645607 + ... + 23669102.

It is an arithmetic number, because the mean of its divisors is an integer number (7637212156665).

Almost surely, 2212303131201332 is an apocalyptic number.

It is an amenable number.

212303131201332 is an abundant number, since it is smaller than the sum of its proper divisors (337576144078548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212303131201332 is a wasteful number, since it uses less digits than its factorization.

212303131201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35318833 (or 35318828 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212303131201332 its reverse (233102131303212), we get a palindrome (445405262504544).

The spelling of 212303131201332 in words is "two hundred twelve trillion, three hundred three billion, one hundred thirty-one million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 4073 8146 12219 16292 24438 36657 48876 73314 146628 166993 333986 500979 667972 1001958 1502937 2003916 3005874 6011748 35314709 70629418 105944127 141258836 211888254 317832381 423776508 635664762 1271329524 1447903069 2895806138 4343709207 5791612276 8687418414 13031127621 17374836828 26062255242 52124510484 143836809757 287673619514 431510429271 575347239028 863020858542 1294531287813 1726041717084 2589062575626 5178125151252 5897309200037 11794618400074 17691927600111 23589236800148 35383855200222 53075782800333 70767710400444 106151565600666 212303131201332