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312222130213230 = 233547132131675881
BaseRepresentation
bin100011011111101101110000…
…1001010011001000101101110
31111221111010220002012200121000
41012333123201022121011232
5311410421410313310410
63024012511055421130
7122523206306244516
oct10677334112310556
91457433802180530
10312222130213230
1190535730989246
122b0268a78247a6
131052a560c273a3
1457158bb690846
1526169329a3dc0
hex11bf6e129916e

312222130213230 has 256 divisors, whose sum is σ = 851364196024320. Its totient is φ = 81386523187200.

The previous prime is 312222130213121. The next prime is 312222130213267. The reversal of 312222130213230 is 32312031222213.

312222130213230 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 213 + 0 + 213 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312222130213194 and 312222130213203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53089969890 + ... + 53089975770.

It is an arithmetic number, because the mean of its divisors is an integer number (3325641390720).

Almost surely, 2312222130213230 is an apocalyptic number.

312222130213230 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 312222130213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425682098012160).

312222130213230 is an abundant number, since it is smaller than the sum of its proper divisors (539142065811090).

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

312222130213230 is a wasteful number, since it uses less digits than its factorization.

312222130213230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312222130213230 its reverse (32312031222213), we get a palindrome (344534161435443).

The spelling of 312222130213230 in words is "three hundred twelve trillion, two hundred twenty-two billion, one hundred thirty million, two hundred thirteen thousand, two hundred thirty".