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1000333022121 = 32392928289161
BaseRepresentation
bin11101000111010000111…
…11101001001110101001
310112122000221001200221200
432203220133221032221
5112342140223201441
62043314024154413
7132162120252006
oct16435037511651
93478027050850
101000333022121
11356269a04394
12141a55608a09
137343c289054
14365b87748ad
151b04aae97b6
hexe8e87e93a9

1000333022121 has 12 divisors (see below), whose sum is σ = 1445293286580. Its totient is φ = 666718922880.

The previous prime is 1000333022077. The next prime is 1000333022123. The reversal of 1000333022121 is 1212203330001.

It can be written as a sum of positive squares in 2 ways, for example, as 143310702096 + 857022320025 = 378564^2 + 925755^2 .

It is not a de Polignac number, because 1000333022121 - 210 = 1000333021097 is a prime.

It is a super-3 number, since 3×10003330221213 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000333022094 and 1000333022103.

It is not an unprimeable number, because it can be changed into a prime (1000333022123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14109220 + ... + 14179941.

It is an arithmetic number, because the mean of its divisors is an integer number (120441107215).

Almost surely, 21000333022121 is an apocalyptic number.

It is an amenable number.

1000333022121 is a deficient number, since it is larger than the sum of its proper divisors (444960264459).

1000333022121 is a wasteful number, since it uses less digits than its factorization.

1000333022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28293096 (or 28293093 counting only the distinct ones).

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

Adding to 1000333022121 its reverse (1212203330001), we get a palindrome (2212536352122).

The spelling of 1000333022121 in words is "one trillion, three hundred thirty-three million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 3929 11787 35361 28289161 84867483 254602449 111148113569 333444340707 1000333022121