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3111332420 = 22573647701
BaseRepresentation
bin1011100101110011…
…0010101001000100
322000211112001201002
42321130302221010
522333000114140
61232422352432
7140046614000
oct27134625104
98024461632
103111332420
1113572a2109
12729b8b718
133a7795201
14217307700
15133236415
hexb9732a44

3111332420 has 96 divisors (see below), whose sum is σ = 7642252800. Its totient is φ = 1063574400.

The previous prime is 3111332417. The next prime is 3111332431. The reversal of 3111332420 is 242331113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3111332392 and 3111332401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438070 + ... + 4438770.

It is an arithmetic number, because the mean of its divisors is an integer number (79606800).

Almost surely, 23111332420 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 3111332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

3111332420 is an abundant number, since it is smaller than the sum of its proper divisors (4530920380).

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

3111332420 is a wasteful number, since it uses less digits than its factorization.

3111332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3111332420 is about 55779.3189273587. The cubic root of 3111332420 is about 1459.8743277079.

Adding to 3111332420 its reverse (242331113), we get a palindrome (3353663533).

The spelling of 3111332420 in words is "three billion, one hundred eleven million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 647 686 701 980 1294 1372 1402 1715 2588 2804 3235 3430 3505 4529 4907 6470 6860 7010 9058 9814 12940 14020 18116 19628 22645 24535 31703 34349 45290 49070 63406 68698 90580 98140 126812 137396 158515 171745 221921 240443 317030 343490 443842 453547 480886 634060 686980 887684 907094 961772 1109605 1202215 1814188 2219210 2267735 2404430 3174829 4438420 4535470 4808860 6349658 9070940 12699316 15874145 22223803 31748290 44447606 63496580 88895212 111119015 155566621 222238030 311133242 444476060 622266484 777833105 1555666210 3111332420