Search a number
-
+
30322003012 = 22721745719913
BaseRepresentation
bin11100001111010101…
…010000110001000100
32220021012012100110121
4130033111100301010
5444044413044022
621532453431324
72122256526100
oct341725206104
986235170417
1030322003012
111194aa86724
125a6293b544
132b22cc7c22
141679108900
15bc70322c7
hex70f550c44

30322003012 has 72 divisors (see below), whose sum is σ = 65504235384. Its totient is φ = 12203347968.

The previous prime is 30322003001. The next prime is 30322003027. The reversal of 30322003012 is 21030022303.

It can be written as a sum of positive squares in 4 ways, for example, as 5210529856 + 25111473156 = 72184^2 + 158466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512768 + ... + 1532680.

It is an arithmetic number, because the mean of its divisors is an integer number (909781047).

Almost surely, 230322003012 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 30322003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32752117692).

30322003012 is an abundant number, since it is smaller than the sum of its proper divisors (35182232372).

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

30322003012 is a wasteful number, since it uses less digits than its factorization.

30322003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405 (or 20396 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30322003012 its reverse (21030022303), we get a palindrome (51352025315).

The spelling of 30322003012 in words is "thirty billion, three hundred twenty-two million, three thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 457 476 833 914 1666 1828 3199 3332 6398 7769 12796 15538 19913 22393 31076 39826 44786 54383 79652 89572 108766 139391 217532 278782 338521 380681 557564 677042 761362 975737 1354084 1522724 1951474 2369647 3902948 4739294 9100241 9478588 16587529 18200482 33175058 36400964 63701687 66350116 127403374 154704097 254806748 309408194 445911809 618816388 891823618 1082928679 1783647236 2165857358 4331714716 7580500753 15161001506 30322003012