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10583344223 = 1922311292
BaseRepresentation
bin10011101101101000…
…10000010001011111
31000022120102120221222
421312310100101133
5133133314003343
64510101443555
7523156640654
oct116664202137
930276376858
1010583344223
114541027181
1220744105bb
13cc8803b7a
14725811c2b
1541e1daa68
hex276d1045f

10583344223 has 18 divisors (see below), whose sum is σ = 11665650024. Its totient is φ = 9581904288.

The previous prime is 10583344217. The next prime is 10583344243. The reversal of 10583344223 is 32244338501.

10583344223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10583344223 - 24 = 10583344207 is a prime.

It is a super-2 number, since 2×105833442232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10583344243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9373523 + ... + 9374651.

It is an arithmetic number, because the mean of its divisors is an integer number (648091668).

Almost surely, 210583344223 is an apocalyptic number.

10583344223 is a deficient number, since it is larger than the sum of its proper divisors (1082305801).

10583344223 is an frugal number, since it uses more digits than its factorization.

10583344223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 10583344223 in words is "ten billion, five hundred eighty-three million, three hundred forty-four thousand, two hundred twenty-three".

Divisors: 1 19 23 361 437 1129 8303 21451 25967 407569 493373 1274641 9374087 24218179 29316743 460145401 557018117 10583344223