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12021300102231 = 32737109716992767
BaseRepresentation
bin1010111011101110110101…
…0100101000010001010111
31120120020002001222102000200
42232323231110220101113
53033424110311232411
641322301541111543
72350340010623640
oct256735524502127
946506061872020
1012021300102231
113915228570982
1214219850b85b3
136927b0539b84
142d7b968106c7
1515ca7cd9be56
hexaeeed528457

12021300102231 has 96 divisors (see below), whose sum is σ = 20418991257600. Its totient is φ = 6671222373888.

The previous prime is 12021300102191. The next prime is 12021300102241. The reversal of 12021300102231 is 13220100312021.

12021300102231 is a `hidden beast` number, since 1 + 202 + 130 + 0 + 102 + 231 = 666.

It is not a de Polignac number, because 12021300102231 - 27 = 12021300102103 is a prime.

It is a super-2 number, since 2×120213001022312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021300102241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4344523410 + ... + 4344526176.

It is an arithmetic number, because the mean of its divisors is an integer number (212697825600).

Almost surely, 212021300102231 is an apocalyptic number.

12021300102231 is a deficient number, since it is larger than the sum of its proper divisors (8397691155369).

12021300102231 is a wasteful number, since it uses less digits than its factorization.

12021300102231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5610 counting only the distinct ones).

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

Adding to 12021300102231 its reverse (13220100312021), we get a palindrome (25241400414252).

The spelling of 12021300102231 in words is "twelve trillion, twenty-one billion, three hundred million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 1097 1699 2331 2767 3291 5097 7679 8301 9873 11893 15291 19369 23037 24903 35679 40589 58107 62863 69111 102379 107037 121767 174321 188589 284123 307137 365301 440041 565767 716653 852369 921411 1320123 1863803 2149959 2557107 3035399 3960369 4701133 5591409 6449877 9106197 13046621 14103399 16774227 21247793 27318591 32907931 39139863 42310197 63743379 68960711 98723793 112309763 117419589 173941921 191230137 206882133 296171379 336929289 482724977 521825763 620646399 786168341 1010787867 1217593447 1448174931 1565477289 2358505023 3652780341 4344524793 5157142901 7075515069 10958341023 15471428703 36100000307 46414286109 108300000921 190814287337 324900002763 572442862011 1335700011359 1717328586033 4007100034077 12021300102231