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10023032123233 = 41337561320741
BaseRepresentation
bin1001000111011010101101…
…0001001110111101100001
31022111012012100020100012121
42101312223101032331201
52303204132210420413
633152303431224241
72053066036224523
oct221665321167541
938435170210177
1010023032123233
113214820374108
12115a645218081
13579224a83bcc
1426918ddbda13
15125ac6e9ab8d
hex91dab44ef61

10023032123233 has 8 divisors (see below), whose sum is σ = 10026814450536. Its totient is φ = 10019250460800.

The previous prime is 10023032123197. The next prime is 10023032123239. The reversal of 10023032123233 is 33232123032001.

It can be written as a sum of positive squares in 4 ways, for example, as 2280486576384 + 7742545546849 = 1510128^2 + 2782543^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10023032123233 - 241 = 7824008867681 is a prime.

It is a super-2 number, since 2×100230321232332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10023032123198 and 10023032123207.

It is not an unprimeable number, because it can be changed into a prime (10023032123239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31089243 + ... + 31409983.

It is an arithmetic number, because the mean of its divisors is an integer number (1253351806317).

Almost surely, 210023032123233 is an apocalyptic number.

It is an amenable number.

10023032123233 is a deficient number, since it is larger than the sum of its proper divisors (3782327303).

10023032123233 is an equidigital number, since it uses as much as digits as its factorization.

10023032123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332435.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 10023032123233 its reverse (33232123032001), we get a palindrome (43255155155234).

The spelling of 10023032123233 in words is "ten trillion, twenty-three billion, thirty-two million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 4133 7561 320741 31249613 1325622553 2425122701 10023032123233