Search a number
-
+
10014101334 = 233414523081
BaseRepresentation
bin10010101001110001…
…10000111101010110
3221211220022001112000
421110320300331112
5131002102220314
64333404540130
7503105312466
oct112470607526
927756261460
1010014101334
114279776606
121b35851646
13c378b6a63
146add93ba6
153d9246209
hex254e30f56

10014101334 has 32 divisors (see below), whose sum is σ = 22796333280. Its totient is φ = 3256617600.

The previous prime is 10014101323. The next prime is 10014101341. The reversal of 10014101334 is 43310141001.

10014101334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2259327 + ... + 2263754.

It is an arithmetic number, because the mean of its divisors is an integer number (712385415).

Almost surely, 210014101334 is an apocalyptic number.

10014101334 is an abundant number, since it is smaller than the sum of its proper divisors (12782231946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10014101334 is a wasteful number, since it uses less digits than its factorization.

10014101334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523133 (or 4523127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10014101334 its reverse (43310141001), we get a palindrome (53324242335).

The spelling of 10014101334 in words is "ten billion, fourteen million, one hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 4523081 9046162 13569243 27138486 40707729 81415458 122123187 185446321 244246374 370892642 556338963 1112677926 1669016889 3338033778 5007050667 10014101334