Search a number
-
+
10210131041 = 118370915773
BaseRepresentation
bin10011000001001001…
…00011110001100001
3222100120011101201112
421200210203301201
5131402243143131
64405050313105
7511005452615
oct114044436141
928316141645
1010210131041
11436a397630
121b8b428795
13c693b0b76
146cc021345
153eb56902b
hex260923c61

10210131041 has 16 divisors (see below), whose sum is σ = 11289136320. Its totient is φ = 9156592320.

The previous prime is 10210131011. The next prime is 10210131053. The reversal of 10210131041 is 14013101201.

It is a cyclic number.

It is not a de Polignac number, because 10210131041 - 226 = 10143022177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10210131011) 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, 639431 + ... + 655203.

It is an arithmetic number, because the mean of its divisors is an integer number (705571020).

Almost surely, 210210131041 is an apocalyptic number.

10210131041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210131041 is a deficient number, since it is larger than the sum of its proper divisors (1079005279).

10210131041 is a wasteful number, since it uses less digits than its factorization.

10210131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10210131041 its reverse (14013101201), we get a palindrome (24223232242).

The spelling of 10210131041 in words is "ten billion, two hundred ten million, one hundred thirty-one thousand, forty-one".

Divisors: 1 11 83 709 913 7799 15773 58847 173503 647317 1309159 11183057 14400749 123013627 928193731 10210131041