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312300313220 = 22573175350527
BaseRepresentation
bin1001000101101101000…
…11001001101010000100
31002212002202010200101102
410202312203021222010
520104042340010340
6355245131315232
731364043602000
oct4426643115204
91085082120342
10312300313220
1111049a426715
12506388abb18
13235b027095c
14111889b5700
1581cc4a1215
hex48b68c9a84

312300313220 has 192 divisors, whose sum is σ = 825102028800. Its totient is φ = 98872510464.

The previous prime is 312300313217. The next prime is 312300313249. The reversal of 312300313220 is 22313003213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312300313192 and 312300313201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6155597 + ... + 6206123.

It is an arithmetic number, because the mean of its divisors is an integer number (4297406400).

Almost surely, 2312300313220 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 312300313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412551014400).

312300313220 is an abundant number, since it is smaller than the sum of its proper divisors (512801715580).

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

312300313220 is a wasteful number, since it uses less digits than its factorization.

312300313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50627 (or 50611 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312300313220 its reverse (22313003213), we get a palindrome (334613316433).

The spelling of 312300313220 in words is "three hundred twelve billion, three hundred million, three hundred thirteen thousand, two hundred twenty".