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10130400011 = 17934363781
BaseRepresentation
bin10010110111101000…
…11010001100001011
3222011000010122022102
421123310122030023
5131221340300021
64353121344015
7506016656624
oct113364321413
928130118272
1010130400011
11432938a516
121b6879800b
13c55a16044
146c15c8a4b
153e456a00b
hex25bd1a30b

10130400011 has 8 divisors (see below), whose sum is σ = 10727622144. Its totient is φ = 9533324160.

The previous prime is 10130399989. The next prime is 10130400023. The reversal of 10130400011 is 11000403101.

10130400011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10130400011 - 26 = 10130399947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10130399965 and 10130400001.

It is not an unprimeable number, because it can be changed into a prime (10130400211) 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 7 ways as a sum of consecutive naturals, for example, 126941 + ... + 190721.

It is an arithmetic number, because the mean of its divisors is an integer number (1340952768).

Almost surely, 210130400011 is an apocalyptic number.

10130400011 is a deficient number, since it is larger than the sum of its proper divisors (597222133).

10130400011 is an equidigital number, since it uses as much as digits as its factorization.

10130400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73141.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10130400011 its reverse (11000403101), we get a palindrome (21130803112).

The spelling of 10130400011 in words is "ten billion, one hundred thirty million, four hundred thousand, eleven".

Divisors: 1 17 9343 63781 158831 1084277 595905883 10130400011