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10023444431 = 7111310013431
BaseRepresentation
bin10010101010111000…
…11001111111001111
3221212112212201211122
421111130121333033
5131012000210211
64334341111155
7503250605030
oct112534317717
927775781748
1010023444431
114283a78180
121b389b84bb
13c39808610
146b1306a87
153d9e8e6db
hex255719fcf

10023444431 has 16 divisors (see below), whose sum is σ = 13458052608. Its totient is φ = 7209669600.

The previous prime is 10023444407. The next prime is 10023444449. The reversal of 10023444431 is 13444432001.

It is not a de Polignac number, because 10023444431 - 214 = 10023428047 is a prime.

It is a super-2 number, since 2×100234444312 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 10023444431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023444481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005715 + ... + 5007716.

It is an arithmetic number, because the mean of its divisors is an integer number (841128288).

Almost surely, 210023444431 is an apocalyptic number.

10023444431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10023444431 is a deficient number, since it is larger than the sum of its proper divisors (3434608177).

10023444431 is a wasteful number, since it uses less digits than its factorization.

10023444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013462.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10023444431 its reverse (13444432001), we get a palindrome (23467876432).

It can be divided in two parts, 10023 and 444431, that added together give a palindrome (454454).

The spelling of 10023444431 in words is "ten billion, twenty-three million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 10013431 70094017 110147741 130174603 771034187 911222221 1431920633 10023444431