Search a number
-
+
321303030100 = 225213619399283
BaseRepresentation
bin1001010110011110010…
…01110010100101010100
31010201100011100002020221
410223033021302211110
520231012033430400
6403334331004124
732133121456663
oct4531711624524
91121304302227
10321303030100
1111429a2030a8
125232b899644
13243b6462770
14117a04d6dda
158557a17c1a
hex4acf272954

321303030100 has 72 divisors (see below), whose sum is σ = 752075371040. Its totient is φ = 118443012480.

The previous prime is 321303030043. The next prime is 321303030107. The reversal of 321303030100 is 1030303123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321303030107) by changing a digit.

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, 605059 + ... + 1004341.

Almost surely, 2321303030100 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 321303030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376037685520).

321303030100 is an abundant number, since it is smaller than the sum of its proper divisors (430772340940).

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

321303030100 is a wasteful number, since it uses less digits than its factorization.

321303030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399929 (or 399922 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 321303030100 its reverse (1030303123), we get a palindrome (322333333223).

The spelling of 321303030100 in words is "three hundred twenty-one billion, three hundred three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 619 650 1238 1300 2476 3095 6190 8047 12380 15475 16094 30950 32188 40235 61900 80470 160940 201175 399283 402350 798566 804700 1597132 1996415 3992830 5190679 7985660 9982075 10381358 19964150 20762716 25953395 39928300 51906790 103813580 129766975 247156177 259533950 494312354 519067900 988624708 1235780885 2471561770 3213030301 4943123540 6178904425 6426060602 12357808850 12852121204 16065151505 24715617700 32130303010 64260606020 80325757525 160651515050 321303030100