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312231111030 = 23251910317310247
BaseRepresentation
bin1001000101100100110…
…11001010100101110110
31002211220220220211211100
410202302123022211312
520103422131023110
6355234220150530
731362243440226
oct4426233124566
91084826824740
10312231111030
11110464360023
1250619698446
132359bb21307
141117d720086
1581c6381bc0
hex48b26ca976

312231111030 has 192 divisors, whose sum is σ = 867895741440. Its totient is φ = 77654515968.

The previous prime is 312231111029. The next prime is 312231111083. The reversal of 312231111030 is 30111132213.

312231111030 is a `hidden beast` number, since 312 + 2 + 311 + 1 + 10 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312231110994 and 312231111012.

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 95 ways as a sum of consecutive naturals, for example, 30465367 + ... + 30475613.

It is an arithmetic number, because the mean of its divisors is an integer number (4520290320).

Almost surely, 2312231111030 is an apocalyptic number.

312231111030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312231111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433947870720).

312231111030 is an abundant number, since it is smaller than the sum of its proper divisors (555664630410).

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

312231111030 is a wasteful number, since it uses less digits than its factorization.

312231111030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10552 counting only the distinct ones).

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

Adding to 312231111030 its reverse (30111132213), we get a palindrome (342342243243).

The spelling of 312231111030 in words is "three hundred twelve billion, two hundred thirty-one million, one hundred eleven thousand, thirty".