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21114112133241 = 331746000244299
BaseRepresentation
bin1001100110100000000110…
…01001110100100001111001
32202202111012202222220212000
410303100003021310201321
510231413200201230431
6112523404511411213
74306305244633011
oct463200311644171
982674182886760
1021114112133241
116800498945666
122450081523b09
13ba208a99c1ba
1452dcdda6ac41
1526935e7199e6
hex133403274879

21114112133241 has 16 divisors (see below), whose sum is σ = 33120175896000. Its totient is φ = 13248070357824.

The previous prime is 21114112133239. The next prime is 21114112133269. The reversal of 21114112133241 is 14233121141112.

21114112133241 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 411 + 2 + 1 + 3 + 3 + 241 = 666.

It is not a de Polignac number, because 21114112133241 - 21 = 21114112133239 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21114112133041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23000121691 + ... + 23000122608.

It is an arithmetic number, because the mean of its divisors is an integer number (2070010993500).

Almost surely, 221114112133241 is an apocalyptic number.

It is an amenable number.

21114112133241 is a deficient number, since it is larger than the sum of its proper divisors (12006063762759).

21114112133241 is a wasteful number, since it uses less digits than its factorization.

21114112133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46000244325 (or 46000244319 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 21114112133241 its reverse (14233121141112), we get a palindrome (35347233274353).

The spelling of 21114112133241 in words is "twenty-one trillion, one hundred fourteen billion, one hundred twelve million, one hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 46000244299 138000732897 414002198691 782004153083 1242006596073 2346012459249 7038037377747 21114112133241