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213203112012 = 223311596774493
BaseRepresentation
bin1100011010001111100…
…1010101000001001100
3202101022111021021021000
43012203321111001030
511443114444041022
6241535534340300
721255241356642
oct3064371250114
9671274237230
10213203112012
1182467664720
12353a135a690
13171497c77a7
14a4677dd192
15582c6476ac
hex31a3e5504c

213203112012 has 192 divisors, whose sum is σ = 614261491200. Its totient is φ = 63404040960.

The previous prime is 213203112011. The next prime is 213203112013. The reversal of 213203112012 is 210211302312.

213203112012 is a `hidden beast` number, since 2 + 1 + 320 + 311 + 20 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (213203112011) and next prime (213203112013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213203112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47450038 + ... + 47454530.

It is an arithmetic number, because the mean of its divisors is an integer number (3199278600).

Almost surely, 2213203112012 is an apocalyptic number.

213203112012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213203112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307130745600).

213203112012 is an abundant number, since it is smaller than the sum of its proper divisors (401058379188).

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

213203112012 is a wasteful number, since it uses less digits than its factorization.

213203112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213203112012 its reverse (210211302312), we get a palindrome (423414414324).

The spelling of 213203112012 in words is "two hundred thirteen billion, two hundred three million, one hundred twelve thousand, twelve".