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312113312120 = 23533123573513
BaseRepresentation
bin1001000101010110110…
…01110011000101111000
31002211121201021001002202
410202223121303011320
520103202001441440
6355214411245332
731356313244201
oct4425331630570
91084551231082
10312113312120
11110403911a55
12505a6149848
13235805b820c
141116bc185a8
1581bad63615
hex48ab673178

312113312120 has 32 divisors (see below), whose sum is σ = 704376598320. Its totient is φ = 124468143360.

The previous prime is 312113312111. The next prime is 312113312123. The reversal of 312113312120 is 21213311213.

It is a happy number.

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 = 312113312092 and 312113312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113312123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11773517 + ... + 11799996.

Almost surely, 2312113312120 is an apocalyptic number.

It is an amenable number.

312113312120 is an abundant number, since it is smaller than the sum of its proper divisors (392263286200).

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

312113312120 is a wasteful number, since it uses less digits than its factorization.

312113312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573855 (or 23573851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312113312120 its reverse (21213311213), we get a palindrome (333326623333).

The spelling of 312113312120 in words is "three hundred twelve billion, one hundred thirteen million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 331 662 1324 1655 2648 3310 6620 13240 23573513 47147026 94294052 117867565 188588104 235735130 471470260 942940520 7802832803 15605665606 31211331212 39014164015 62422662424 78028328030 156056656060 312113312120