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10024014401 = 29211919161
BaseRepresentation
bin10010101010111101…
…00101001001000001
3221212120221200200122
421111132211021001
5131012121430101
64334401230025
7503255500532
oct112536451101
927776850618
1010024014401
114284327425
121b39032315
13c39977b8b
146b1414689
153da05351b
hex2557a5241

10024014401 has 6 divisors (see below), whose sum is σ = 10381590102. Its totient is φ = 9678357920.

The previous prime is 10024014373. The next prime is 10024014431. The reversal of 10024014401 is 10441042001.

It is a Cunningham number, because it is equal to 1001202+1.

It can be written as a sum of positive squares in 3 ways, for example, as 23814400 + 10000200001 = 4880^2 + 100001^2 .

It is not a de Polignac number, because 10024014401 - 230 = 8950272577 is a prime.

It is a super-2 number, since 2×100240144012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10024014401.

It is not an unprimeable number, because it can be changed into a prime (10024014431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5958740 + ... + 5960421.

It is an arithmetic number, because the mean of its divisors is an integer number (1730265017).

Almost surely, 210024014401 is an apocalyptic number.

It is an amenable number.

10024014401 is a deficient number, since it is larger than the sum of its proper divisors (357575701).

10024014401 is an equidigital number, since it uses as much as digits as its factorization.

10024014401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919219 (or 11919190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10024014401 its reverse (10441042001), we get a palindrome (20465056402).

The spelling of 10024014401 in words is "ten billion, twenty-four million, fourteen thousand, four hundred one".

Divisors: 1 29 841 11919161 345655669 10024014401