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1332120021021 = 32975081300317
BaseRepresentation
bin10011011000101000100…
…010100110100000011101
311201100102201211120201100
4103120220202212200131
5133311140211133041
62455544551103313
7165146114231466
oct23305042464035
94640381746640
101332120021021
11473a49029409
12196210371b39
139880676a23a
14486913b1d6d
15249b8c1d6b6
hex136288a681d

1332120021021 has 24 divisors (see below), whose sum is σ = 1944399280824. Its totient is φ = 878748641280.

The previous prime is 1332120020999. The next prime is 1332120021049. The reversal of 1332120021021 is 1201200212331.

1332120021021 is a `hidden beast` number, since 1 + 332 + 120 + 0 + 210 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66157498521 + 1265962522500 = 257211^2 + 1125150^2 .

It is not a de Polignac number, because 1332120021021 - 25 = 1332120020989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332120020985 and 1332120021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332120025021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4285555 + ... + 4585871.

It is an arithmetic number, because the mean of its divisors is an integer number (81016636701).

Almost surely, 21332120021021 is an apocalyptic number.

It is an amenable number.

1332120021021 is a deficient number, since it is larger than the sum of its proper divisors (612279259803).

1332120021021 is a wasteful number, since it uses less digits than its factorization.

1332120021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305501 (or 305498 counting only the distinct ones).

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

Adding to 1332120021021 its reverse (1201200212331), we get a palindrome (2533320233352).

The spelling of 1332120021021 in words is "one trillion, three hundred thirty-two billion, one hundred twenty million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 97 291 873 5081 15243 45729 300317 492857 900951 1478571 2702853 4435713 29130749 87392247 262176741 1525910677 4577732031 13733196093 148013335669 444040007007 1332120021021