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20000132133021 = 3261716972122381
BaseRepresentation
bin1001000110000101001001…
…10001010111000010011101
32121210222211121002120002100
410203002210301113002131
510110140232311224041
6110311533414115313
74132650630105225
oct443024461270235
977728747076070
1020000132133021
116411010206587
1222b01ab94bb39
13b21009798361
144d2023a15085
1524a3b17866b6
hex1230a4c5709d

20000132133021 has 24 divisors (see below), whose sum is σ = 28952966445624. Its totient is φ = 13303960750080.

The previous prime is 20000132133001. The next prime is 20000132133031. The reversal of 20000132133021 is 12033123100002.

20000132133021 is a `hidden beast` number, since 200 + 0 + 0 + 132 + 1 + 330 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7843438776996 + 12156693356025 = 2800614^2 + 3486645^2 .

It is not a de Polignac number, because 20000132133021 - 26 = 20000132132957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20000132132985 and 20000132133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000132133001) 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 23 ways as a sum of consecutive naturals, for example, 8362251 + ... + 10484631.

It is an arithmetic number, because the mean of its divisors is an integer number (1206373601901).

Almost surely, 220000132133021 is an apocalyptic number.

It is an amenable number.

20000132133021 is a deficient number, since it is larger than the sum of its proper divisors (8952834312603).

20000132133021 is a wasteful number, since it uses less digits than its factorization.

20000132133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124701 (or 2124698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20000132133021 its reverse (12033123100002), we get a palindrome (32033255233023).

The spelling of 20000132133021 in words is "twenty trillion, one hundred thirty-two million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 617 1697 1851 5091 5553 15273 1047049 2122381 3141147 6367143 9423441 19101429 1309509077 3601680557 3928527231 10805041671 11785581693 32415125013 2222236903669 6666710711007 20000132133021