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10014041301 = 3111729679187
BaseRepresentation
bin10010101001110001…
…00010010011010101
3221211220012000011120
421110320202103111
5131002043310201
64333403354153
7503104642455
oct112470422325
927756160146
1010014041301
1142797354a0
121b35822959
13c37895634
146add79d65
153d9233536
hex254e224d5

10014041301 has 64 divisors (see below), whose sum is σ = 16194401280. Its totient is φ = 5432232960.

The previous prime is 10014041299. The next prime is 10014041311. The reversal of 10014041301 is 10314041001.

10014041301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10014041301 - 21 = 10014041299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014041311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085430 + ... + 1094616.

It is an arithmetic number, because the mean of its divisors is an integer number (253037520).

Almost surely, 210014041301 is an apocalyptic number.

10014041301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10014041301 is a deficient number, since it is larger than the sum of its proper divisors (6180359979).

10014041301 is a wasteful number, since it uses less digits than its factorization.

10014041301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10014041301 its reverse (10314041001), we get a palindrome (20328082302).

The spelling of 10014041301 in words is "ten billion, fourteen million, forty-one thousand, three hundred one".

Divisors: 1 3 11 17 29 33 51 67 87 187 201 319 493 561 737 957 1139 1479 1943 2211 3417 5423 5829 9187 12529 16269 21373 27561 33031 37587 64119 99093 101057 156179 266423 303171 363341 468537 615529 799269 1090023 1717969 1846587 2930653 4529191 5153907 6770819 8791959 10463993 13587573 17850341 20312457 31391979 49821101 53551023 115103923 149463303 196353751 303455797 345311769 589061253 910367391 3338013767 10014041301