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2131312 = 24314297
BaseRepresentation
bin1000001000010101110000
311000021121111
420020111300
51021200222
6113403104
724054511
oct10102560
94007544
102131312
111226317
12869494
13598141
143d6a08
152c1777
hex208570

2131312 has 20 divisors (see below), whose sum is σ = 4263616. Its totient is φ = 1031040.

The previous prime is 2131291. The next prime is 2131319.

2131312 is nontrivially palindromic in base 10.

2131312 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 2131292 and 2131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1653 + ... + 2644.

22131312 is an apocalyptic number.

It is an amenable number.

2131312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2131312 is a wasteful number, since it uses less digits than its factorization.

2131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 2131312 is about 1459.9013665313. The cubic root of 2131312 is about 128.6912472688.

The spelling of 2131312 in words is "two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 4297 8594 17188 34376 68752 133207 266414 532828 1065656 2131312