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312230222010 = 2325713917592027
BaseRepresentation
bin1001000101100100101…
…11110001100010111010
31002211220212020200022200
410202302113301202322
520103421414101020
6355234145131030
731362233045310
oct4426227614272
91084825220280
10312230222010
111104639030a3
1250619329a76
132359b89c775
141117d56c0b0
1581c6258590
hex48b25f18ba

312230222010 has 192 divisors, whose sum is σ = 935436902400. Its totient is φ = 70778261376.

The previous prime is 312230221997. The next prime is 312230222021. The reversal of 312230222010 is 10222032213.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154034617 + ... + 154036643.

It is an arithmetic number, because the mean of its divisors is an integer number (4872067200).

Almost surely, 2312230222010 is an apocalyptic number.

312230222010 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 312230222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467718451200).

312230222010 is an abundant number, since it is smaller than the sum of its proper divisors (623206680390).

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

312230222010 is a wasteful number, since it uses less digits than its factorization.

312230222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312230222010 its reverse (10222032213), we get a palindrome (322452254223).

The spelling of 312230222010 in words is "three hundred twelve billion, two hundred thirty million, two hundred twenty-two thousand, ten".