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3111312132 = 2232109792893
BaseRepresentation
bin1011100101110010…
…1101101100000100
322000211111000212200
42321130231230010
522332443442012
61232422114500
7140046500565
oct27134555404
98024430780
103111312132
111357288945
12729b7ba30
133a7788bc6
1421730016c
151332303dc
hexb972db04

3111312132 has 36 divisors (see below), whose sum is σ = 7936868940. Its totient is φ = 1027588032.

The previous prime is 3111312121. The next prime is 3111312133. The reversal of 3111312132 is 2312131113.

3111312132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1476403776 + 1634908356 = 38424^2 + 40434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3111312133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392523 + ... + 400370.

Almost surely, 23111312132 is an apocalyptic number.

It is an amenable number.

3111312132 is an abundant number, since it is smaller than the sum of its proper divisors (4825556808).

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

3111312132 is a wasteful number, since it uses less digits than its factorization.

3111312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793012 (or 793007 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3111312132 is about 55779.1370675452. The cubic root of 3111312132 is about 1459.8711545770.

Adding to 3111312132 its reverse (2312131113), we get a palindrome (5423443245).

The spelling of 3111312132 in words is "three billion, one hundred eleven million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 792893 1585786 2378679 3171572 4757358 7136037 9514716 14272074 28544148 86425337 172850674 259276011 345701348 518552022 777828033 1037104044 1555656066 3111312132