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15040412101 = 1113595473259
BaseRepresentation
bin11100000000111101…
…00111100111000101
31102211012012002200001
432000132213213011
5221300321141401
610524240121301
71041500251651
oct160036474705
942735162601
1015040412101
116418a14250
122ab9006231
131559028340
14a29743a61
155d0648601
hex3807a79c5

15040412101 has 32 divisors (see below), whose sum is σ = 18007718400. Its totient is φ = 12380921280.

The previous prime is 15040412099. The next prime is 15040412117. The reversal of 15040412101 is 10121404051.

15040412101 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 15040412101 - 21 = 15040412099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15040412201) 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 31 ways as a sum of consecutive naturals, for example, 4613410 + ... + 4616668.

It is an arithmetic number, because the mean of its divisors is an integer number (562741200).

Almost surely, 215040412101 is an apocalyptic number.

15040412101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15040412101 is a deficient number, since it is larger than the sum of its proper divisors (2967306299).

15040412101 is a wasteful number, since it uses less digits than its factorization.

15040412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 15040412101 its reverse (10121404051), we get a palindrome (25161816152).

The spelling of 15040412101 in words is "fifteen billion, forty million, four hundred twelve thousand, one hundred one".

Divisors: 1 11 13 59 143 547 649 767 3259 6017 7111 8437 32273 35849 42367 78221 192281 355003 419549 466037 1782673 2115091 2499653 4615039 19609403 23174749 27496183 105177707 254922239 1156954777 1367310191 15040412101