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210110001012 = 223237191382457
BaseRepresentation
bin1100001110101110001…
…0000010111101110100
3202002022221000221122100
43003223202002331310
511420301130013022
6240305002302100
721115502353422
oct3035342027564
9662287027570
10210110001012
118111a68863a
12348794b7930
1316a75a422b2
14a252aba112
1556ead101ac
hex30eb882f74

210110001012 has 72 divisors (see below), whose sum is σ = 545757508296. Its totient is φ = 68107336704.

The previous prime is 210110001007. The next prime is 210110001061. The reversal of 210110001012 is 210100011012.

It is a happy number.

210110001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 102910073616 + 107199927396 = 320796^2 + 327414^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210110000985 and 210110001003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2506888 + ... + 2589344.

It is an arithmetic number, because the mean of its divisors is an integer number (7579965393).

Almost surely, 2210110001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210110001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272878754148).

210110001012 is an abundant number, since it is smaller than the sum of its proper divisors (335647507284).

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

210110001012 is a wasteful number, since it uses less digits than its factorization.

210110001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84417 (or 84412 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210110001012 its reverse (210100011012), we get a palindrome (420210012024).

The spelling of 210110001012 in words is "two hundred ten billion, one hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1913 3826 5739 7652 11478 17217 22956 34434 68868 70781 82457 141562 164914 212343 247371 283124 329828 424686 494742 637029 742113 849372 989484 1274058 1484226 2548116 2968452 3050909 6101818 9152727 12203636 18305454 27458181 36610908 54916362 109832724 157740241 315480482 473220723 630960964 946441446 1419662169 1892882892 2839324338 5678648676 5836388917 11672777834 17509166751 23345555668 35018333502 52527500253 70036667004 105055000506 210110001012