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10023443133 = 311279349529
BaseRepresentation
bin10010101010111000…
…11001101010111101
3221212112212200001120
421111130121222331
5131012000140013
64334341101153
7503250601164
oct112534315275
927775780046
1010023443133
114283a77200
121b389b77b9
13c39807b52
146b13063db
153d9e8e123
hex255719abd

10023443133 has 24 divisors (see below), whose sum is σ = 14875996800. Its totient is φ = 5997900480.

The previous prime is 10023443093. The next prime is 10023443137. The reversal of 10023443133 is 33134432001.

It is not a de Polignac number, because 10023443133 - 221 = 10021345981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023443137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146088 + ... + 203441.

It is an arithmetic number, because the mean of its divisors is an integer number (619833200).

Almost surely, 210023443133 is an apocalyptic number.

It is an amenable number.

10023443133 is a deficient number, since it is larger than the sum of its proper divisors (4852553667).

10023443133 is a wasteful number, since it uses less digits than its factorization.

10023443133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349633 (or 349622 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10023443133 its reverse (33134432001), we get a palindrome (43157875134).

The spelling of 10023443133 in words is "ten billion, twenty-three million, four hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 33 79 121 237 363 869 2607 9559 28677 349529 1048587 3844819 11534457 27612791 42293009 82838373 126879027 303740701 911222103 3341147711 10023443133