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31116132 = 22321137649
BaseRepresentation
bin111011010110…
…0101101100100
32011112212022100
41312230231210
530431204012
63030532100
7525324405
oct166545544
964485270
1031116132
1116623013
12a507030
1365a6018
1441bd9ac
152ae98dc
hex1dacb64

31116132 has 36 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 10278912.

The previous prime is 31116109. The next prime is 31116139. The reversal of 31116132 is 23161113.

It can be written as a sum of positive squares in 2 ways, for example, as 910116 + 30206016 = 954^2 + 5496^2 .

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 (31116139) 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, 244 + ... + 7892.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 231116132 is an apocalyptic number.

It is an amenable number.

31116132 is an abundant number, since it is smaller than the sum of its proper divisors (48244968).

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

31116132 is a wasteful number, since it uses less digits than its factorization.

31116132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7767 counting only the distinct ones).

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

The square root of 31116132 is about 5578.1835753227. The cubic root of 31116132 is about 314.5298504091.

Adding to 31116132 its reverse (23161113), we get a palindrome (54277245).

It can be divided in two parts, 3111613 and 2, that multiplied together give a palindrome (6223226).

The spelling of 31116132 in words is "thirty-one million, one hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 7649 15298 22947 30596 45894 68841 91788 137682 275364 864337 1728674 2593011 3457348 5186022 7779033 10372044 15558066 31116132