Search a number
-
+
10320014101 = 174123776229
BaseRepresentation
bin10011001110001111…
…01110101100010101
3222122012221000221111
421213013232230111
5132113410422401
64424013415021
7513511446445
oct114707565425
928565830844
1010320014101
114416419381
12200019a471
13c860a4c27
146dc866125
15406021e51
hex2671eeb15

10320014101 has 16 divisors (see below), whose sum is σ = 11200094640. Its totient is φ = 9470545920.

The previous prime is 10320014093. The next prime is 10320014113. The reversal of 10320014101 is 10141002301.

It can be written as a sum of positive squares in 8 ways, for example, as 345997201 + 9974016900 = 18601^2 + 99870^2 .

It is a cyclic number.

It is not a de Polignac number, because 10320014101 - 23 = 10320014093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320014701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653655 + ... + 1659883.

It is an arithmetic number, because the mean of its divisors is an integer number (700005915).

Almost surely, 210320014101 is an apocalyptic number.

It is an amenable number.

10320014101 is a deficient number, since it is larger than the sum of its proper divisors (880080539).

10320014101 is a wasteful number, since it uses less digits than its factorization.

10320014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10320014101 its reverse (10141002301), we get a palindrome (20461016402).

The spelling of 10320014101 in words is "ten billion, three hundred twenty million, fourteen thousand, one hundred one".

Divisors: 1 17 41 697 2377 6229 40409 97457 105893 255389 1656769 4341613 14806333 251707661 607059653 10320014101