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121231300221 = 3241994133049
BaseRepresentation
bin111000011100111110…
…0101101011001111101
3102120220211002010212100
41300321330231121331
53441240203101341
6131405355255313
711521140022653
oct1607174553175
9376824063770
10121231300221
11474609aa209
121b5b414a539
13b58031a595
145c20aa2dd3
1532481253b6
hex1c39f2d67d

121231300221 has 24 divisors (see below), whose sum is σ = 179406372600. Its totient is φ = 78839308800.

The previous prime is 121231300213. The next prime is 121231300247. The reversal of 121231300221 is 122003132121.

121231300221 is a `hidden beast` number, since 121 + 23 + 1 + 300 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43284802500 + 77946497721 = 208050^2 + 279189^2 .

It is not a de Polignac number, because 121231300221 - 23 = 121231300213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121231300194 and 121231300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121231300721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651705 + ... + 3684753.

It is an arithmetic number, because the mean of its divisors is an integer number (7475265525).

Almost surely, 2121231300221 is an apocalyptic number.

It is an amenable number.

121231300221 is a deficient number, since it is larger than the sum of its proper divisors (58175072379).

121231300221 is a wasteful number, since it uses less digits than its factorization.

121231300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43037 (or 43034 counting only the distinct ones).

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

Adding to 121231300221 its reverse (122003132121), we get a palindrome (243234432342).

The spelling of 121231300221 in words is "one hundred twenty-one billion, two hundred thirty-one million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 41 123 369 9941 29823 33049 89469 99147 297441 407581 1222743 1355009 3668229 4065027 12195081 328540109 985620327 2956860981 13470144469 40410433407 121231300221