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210131013 = 31923295527
BaseRepresentation
bin11001000011001…
…01100001000101
3112122101202120010
430201211201011
5412243143023
632503500433
75131040601
oct1441454105
9478352503
10210131013
11a86825a4
125a457719
13346c36a1
141dc9c501
15136ab093
hexc865845

210131013 has 32 divisors (see below), whose sum is σ = 318412800. Its totient is φ = 122544576.

The previous prime is 210130939. The next prime is 210131041. The reversal of 210131013 is 310131012.

It is not a de Polignac number, because 210131013 - 214 = 210114629 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 210131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210131063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35256 + ... + 40782.

It is an arithmetic number, because the mean of its divisors is an integer number (9950400).

Almost surely, 2210131013 is an apocalyptic number.

210131013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

210131013 is a deficient number, since it is larger than the sum of its proper divisors (108281787).

210131013 is a wasteful number, since it uses less digits than its factorization.

210131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 210131013 is about 14495.8964193319. The cubic root of 210131013 is about 594.5157776827.

Adding to 210131013 its reverse (310131012), we get a palindrome (520262025).

Subtracting 210131013 from its reverse (310131012), we obtain a palindrome (99999999).

The spelling of 210131013 in words is "two hundred ten million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 19 23 29 57 69 87 437 551 667 1311 1653 2001 5527 12673 16581 38019 105013 127121 160283 315039 381363 480849 2415299 3045377 3686509 7245897 9136131 11059527 70043671 210131013