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312103220 = 2251113295371
BaseRepresentation
bin10010100110100…
…101000100110100
3210202021111010112
4102212211010310
51114344300340
650545242152
710506555632
oct2246450464
9722244115
10312103220
111501a0850
1288633358
134c877a80
142d644352
151c600065
hex129a5134

312103220 has 192 divisors, whose sum is σ = 823011840. Its totient is φ = 97843200.

The previous prime is 312103217. The next prime is 312103229. The reversal of 312103220 is 22301213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312103195 and 312103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312103229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4395785 + ... + 4395855.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2312103220 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 312103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

312103220 is an abundant number, since it is smaller than the sum of its proper divisors (510908620).

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

312103220 is a wasteful number, since it uses less digits than its factorization.

312103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312103220 is about 17666.4433319217. The cubic root of 312103220 is about 678.3170754085.

Adding to 312103220 its reverse (22301213), we get a palindrome (334404433).

The spelling of 312103220 in words is "three hundred twelve million, one hundred three thousand, two hundred twenty".