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2111312 = 24722693
BaseRepresentation
bin1000000011011101010000
310222021011202
420003131100
51020030222
6113130332
723642300
oct10033520
93867152
102111312
111212295
128599a8
1358bcc8
143cd600
152ba892
hex203750

2111312 has 30 divisors (see below), whose sum is σ = 4760298. Its totient is φ = 904512.

The previous prime is 2111311. The next prime is 2111321. The reversal of 2111312 is 2131112.

It can be written as a sum of positive squares in only one way, i.e., 1731856 + 379456 = 1316^2 + 616^2 .

It is a super-2 number, since 2×21113122 = 8915276722688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111293 and 2111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563 + ... + 2130.

22111312 is an apocalyptic number.

It is an amenable number.

2111312 is an abundant number, since it is smaller than the sum of its proper divisors (2648986).

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

2111312 is a wasteful number, since it uses less digits than its factorization.

2111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2702 counting only the distinct ones).

The product of its digits is 12, while the sum is 11.

The square root of 2111312 is about 1453.0354434769. The cubic root of 2111312 is about 128.2874399720.

Adding to 2111312 its reverse (2131112), we get a palindrome (4242424).

The spelling of 2111312 in words is "two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2693 5386 10772 18851 21544 37702 43088 75404 131957 150808 263914 301616 527828 1055656 2111312