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10311331212 = 22337131318009
BaseRepresentation
bin10011001101001101…
…00110110110001100
3222121121120220021000
421212212212312030
5132104200044322
64423103340300
7513344604060
oct114646466614
928547526230
1010311331212
114411528836
121bb92b1690
13c84354a20
146db645aa0
154053a93ac
hex2669a6d8c

10311331212 has 192 divisors, whose sum is σ = 33157555200. Its totient is φ = 2698375680.

The previous prime is 10311331201. The next prime is 10311331231. The reversal of 10311331212 is 21213311301.

10311331212 is a `hidden beast` number, since 1 + 0 + 311 + 331 + 21 + 2 = 666.

10311331212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 1283464 + ... + 1291472.

It is an arithmetic number, because the mean of its divisors is an integer number (172695600).

Almost surely, 210311331212 is an apocalyptic number.

10311331212 is a gapful number since it is divisible by the number (12) 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 10311331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578777600).

10311331212 is an abundant number, since it is smaller than the sum of its proper divisors (22846223988).

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

10311331212 is a wasteful number, since it uses less digits than its factorization.

10311331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10311331212 its reverse (21213311301), we get a palindrome (31524642513).

The spelling of 10311331212 in words is "ten billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twelve".