Search a number
-
+
3001121024 = 28119710987
BaseRepresentation
bin1011001011100001…
…0111100100000000
321202011010202002112
42302320113210000
522121241333044
61213444234452
7134241051656
oct26270274400
97664122075
103001121024
111300066710
126b909ba28
1338a9b7875
14206818dd6
1512871609e
hexb2e17900

3001121024 has 72 divisors (see below), whose sum is σ = 6603084768. Its totient is φ = 1349959680.

The previous prime is 3001120979. The next prime is 3001121063. The reversal of 3001121024 is 4201211003.

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, 267659 + ... + 278645.

Almost surely, 23001121024 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 3001121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301542384).

3001121024 is an abundant number, since it is smaller than the sum of its proper divisors (3601963744).

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

3001121024 is a wasteful number, since it uses less digits than its factorization.

3001121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3001121024 is about 54782.4882969001. The cubic root of 3001121024 is about 1442.4291919784.

Adding to 3001121024 its reverse (4201211003), we get a palindrome (7202332027).

The spelling of 3001121024 in words is "three billion, one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 704 776 1067 1408 1552 2134 2816 3104 4268 6208 8536 10987 12416 17072 21974 24832 34144 43948 68288 87896 120857 136576 175792 241714 273152 351584 483428 703168 966856 1065739 1406336 1933712 2131478 2812672 3867424 4262956 7734848 8525912 11723129 15469696 17051824 23446258 30939392 34103648 46892516 68207296 93785032 136414592 187570064 272829184 375140128 750280256 1500560512 3001121024