Search a number
-
+
10312071 = 371144641
BaseRepresentation
bin100111010101…
…100110000111
3201101220111120
4213111212013
510114441241
61005005023
7153436230
oct47254607
921356446
1010312071
115903680
123553773
1321a0923
141526087
15d8a666
hex9d5987

10312071 has 16 divisors (see below), whose sum is σ = 17142528. Its totient is φ = 5356800.

The previous prime is 10312069. The next prime is 10312091. The reversal of 10312071 is 17021301.

It is not a de Polignac number, because 10312071 - 21 = 10312069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10312071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22090 + ... + 22551.

It is an arithmetic number, because the mean of its divisors is an integer number (1071408).

Almost surely, 210312071 is an apocalyptic number.

10312071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10312071 is a deficient number, since it is larger than the sum of its proper divisors (6830457).

10312071 is a wasteful number, since it uses less digits than its factorization.

10312071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44662.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10312071 is about 3211.2413487622. The cubic root of 10312071 is about 217.6616739538.

Adding to 10312071 its reverse (17021301), we get a palindrome (27333372).

The spelling of 10312071 in words is "ten million, three hundred twelve thousand, seventy-one".

Divisors: 1 3 7 11 21 33 77 231 44641 133923 312487 491051 937461 1473153 3437357 10312071