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312102020232 = 2332378313710303
BaseRepresentation
bin1001000101010101011…
…10101110010010001000
31002211120221000100112200
410202222232232102020
520103141104121412
6355213325240200
731356115254222
oct4425256562210
91084527010480
10312102020232
111103a84aa212
12505a2403060
132357b163622
141116a519412
1581b9d829dc
hex48aabae488

312102020232 has 192 divisors, whose sum is σ = 885079802880. Its totient is φ = 99263149056.

The previous prime is 312102020227. The next prime is 312102020257. The reversal of 312102020232 is 232020201213.

312102020232 is a `hidden beast` number, since 312 + 102 + 0 + 20 + 232 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30287193 + ... + 30297495.

It is an arithmetic number, because the mean of its divisors is an integer number (4609790640).

Almost surely, 2312102020232 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 312102020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442539901440).

312102020232 is an abundant number, since it is smaller than the sum of its proper divisors (572977782648).

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

312102020232 is a wasteful number, since it uses less digits than its factorization.

312102020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 10565 counting only the distinct ones).

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

Adding to 312102020232 its reverse (232020201213), we get a palindrome (544122221445).

The spelling of 312102020232 in words is "three hundred twelve billion, one hundred two million, twenty thousand, two hundred thirty-two".