Search a number
-
+
3112042401 = 3213101389677
BaseRepresentation
bin1011100101111101…
…1111111110100001
322000212212010121200
42321133133332201
522333140324101
61232445511413
7140055631626
oct27137377641
98025763550
103112042401
111357737576
1272a272569
133a7983410
1421745034d
15133326986
hexb97dffa1

3112042401 has 48 divisors (see below), whose sum is σ = 4908692880. Its totient is φ = 1888473600.

The previous prime is 3112042369. The next prime is 3112042411. The reversal of 3112042401 is 1042402113.

It can be written as a sum of positive squares in 8 ways, for example, as 294980625 + 2817061776 = 17175^2 + 53076^2 .

It is not a de Polignac number, because 3112042401 - 25 = 3112042369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3112042411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4596475 + ... + 4597151.

It is an arithmetic number, because the mean of its divisors is an integer number (102264435).

Almost surely, 23112042401 is an apocalyptic number.

It is an amenable number.

3112042401 is a deficient number, since it is larger than the sum of its proper divisors (1796650479).

3112042401 is a wasteful number, since it uses less digits than its factorization.

3112042401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3112042401 is about 55785.6827600057. The cubic root of 3112042401 is about 1459.9853631172.

Adding to 3112042401 its reverse (1042402113), we get a palindrome (4154444514).

The spelling of 3112042401 in words is "three billion, one hundred twelve million, forty-two thousand, four hundred one".

Divisors: 1 3 9 13 39 101 117 303 389 677 909 1167 1313 2031 3501 3939 5057 6093 8801 11817 15171 26403 39289 45513 68377 79209 117867 205131 263353 353601 510757 615393 790059 888901 1532271 2370177 2666703 3423589 4596813 8000109 10270767 26598653 30812301 79795959 239387877 345782489 1037347467 3112042401