Search a number
-
+
3132111424 = 261328113397
BaseRepresentation
bin1011101010110000…
…0011101001000000
322002021121202010211
42322230003221000
522403310031144
61234444003504
7140421336121
oct27254035100
98067552124
103132111424
111367aa4742
12734b30594
133abb8c090
14219d96048
15134e8d034
hexbab03a40

3132111424 has 56 divisors (see below), whose sum is σ = 6717703608. Its totient is φ = 1440337920.

The previous prime is 3132111419. The next prime is 3132111469. The reversal of 3132111424 is 4241112313.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 3131521600 = 768^2 + 55960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3132111395 and 3132111404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227094 + ... + 240490.

It is an arithmetic number, because the mean of its divisors is an integer number (119958993).

Almost surely, 23132111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358851804).

3132111424 is an abundant number, since it is smaller than the sum of its proper divisors (3585592184).

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

3132111424 is a wasteful number, since it uses less digits than its factorization.

3132111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13703 (or 13693 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 3132111424 is about 55965.2698019048. The cubic root of 3132111424 is about 1463.1170385228.

Adding to 3132111424 its reverse (4241112313), we get a palindrome (7373223737).

The spelling of 3132111424 in words is "three billion, one hundred thirty-two million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 281 416 562 832 1124 2248 3653 4496 7306 8992 13397 14612 17984 26794 29224 53588 58448 107176 116896 174161 214352 233792 348322 428704 696644 857408 1393288 2786576 3764557 5573152 7529114 11146304 15058228 30116456 48939241 60232912 97878482 120465824 195756964 240931648 391513928 783027856 1566055712 3132111424