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10023133023 = 35192170919
BaseRepresentation
bin10010101010110110…
…01101111101011111
3221212112021220200000
421111123031331133
5131011410224043
64334330305343
7503245140111
oct112533157537
927775256600
1010023133023
114283885212
121b38888253
13c39729957
146b12653b1
153d9e2c2d3
hex2556cdf5f

10023133023 has 24 divisors (see below), whose sum is σ = 15804297600. Its totient is φ = 6330396888.

The previous prime is 10023133009. The next prime is 10023133027. The reversal of 10023133023 is 32033132001.

10023133023 is a `hidden beast` number, since 100 + 231 + 330 + 2 + 3 = 666.

It is not a de Polignac number, because 10023133023 - 25 = 10023132991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023132987 and 10023133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023133027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080843 + ... + 1090076.

It is an arithmetic number, because the mean of its divisors is an integer number (658512400).

Almost surely, 210023133023 is an apocalyptic number.

10023133023 is a deficient number, since it is larger than the sum of its proper divisors (5781164577).

10023133023 is an equidigital number, since it uses as much as digits as its factorization.

10023133023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170953 (or 2170941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023133023 its reverse (32033132001), we get a palindrome (42056265024).

The spelling of 10023133023 in words is "ten billion, twenty-three million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 9 19 27 57 81 171 243 513 1539 4617 2170919 6512757 19538271 41247461 58614813 123742383 175844439 371227149 527533317 1113681447 3341044341 10023133023