Search a number
-
+
3111313100 = 225278353551
BaseRepresentation
bin1011100101110010…
…1101111011001100
322000211111002012112
42321130231323030
522332444004400
61232422123152
7140046503450
oct27134557314
98024432175
103111313100
111357289645
12729b804b8
133a778948c
14217300660
15133230835
hexb972decc

3111313100 has 72 divisors (see below), whose sum is σ = 7809166848. Its totient is φ = 1053864000.

The previous prime is 3111313087. The next prime is 3111313129. The reversal of 3111313100 is 13131113.

It is a happy number.

It is a super-2 number, since 2×31113131002 = 19360538412463220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31325 + ... + 84875.

Almost surely, 23111313100 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 3111313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904583424).

3111313100 is an abundant number, since it is smaller than the sum of its proper divisors (4697853748).

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

3111313100 is a wasteful number, since it uses less digits than its factorization.

3111313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53655 (or 53648 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 3111313100 is about 55779.1457446239. The cubic root of 3111313100 is about 1459.8713059767.

Adding to 3111313100 its reverse (13131113), we get a palindrome (3124444213).

The spelling of 3111313100 in words is "three billion, one hundred eleven million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 29050 53551 58100 107102 214204 267755 374857 535510 749714 1071020 1338775 1499428 1874285 2677550 3748570 4444733 5355100 7497140 8889466 9371425 17778932 18742850 22223665 31113131 37485700 44447330 62226262 88894660 111118325 124452524 155565655 222236650 311131310 444473300 622262620 777828275 1555656550 3111313100