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1000022232329 = 18140213137393
BaseRepresentation
bin11101000110101011111…
…10000100110100001001
310112121020021020221111122
432203111332010310021
5112341021142413304
62043223123005025
7132151324503221
oct16432576046411
93477207227448
101000022232329
1135611a53041a
12141989509775
13733bca81073
1436589393081
151b02d6a89be
hexe8d5f84d09

1000022232329 has 8 divisors (see below), whose sum is σ = 1005579541512. Its totient is φ = 994465278720.

The previous prime is 1000022232317. The next prime is 1000022232389. The reversal of 1000022232329 is 9232322200001.

1000022232329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74245350400 + 925776881929 = 272480^2 + 962173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000022232329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000022232298 and 1000022232307.

It is not an unprimeable number, because it can be changed into a prime (1000022232389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7209857 + ... + 7347249.

It is an arithmetic number, because the mean of its divisors is an integer number (125697442689).

Almost surely, 21000022232329 is an apocalyptic number.

It is an amenable number.

1000022232329 is a deficient number, since it is larger than the sum of its proper divisors (5557309183).

1000022232329 is a wasteful number, since it uses less digits than its factorization.

1000022232329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177787.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 1000022232329 in words is "one trillion, twenty-two million, two hundred thirty-two thousand, three hundred twenty-nine".

Divisors: 1 181 40213 137393 7278553 24868133 5524984709 1000022232329