Search a number
-
+
202133230104 = 23313275166359
BaseRepresentation
bin1011110001000000010…
…1000101001000011000
3201022202000100000001210
42330100011011020120
511302432101330404
6232505252343120
720414023051521
oct2742005051030
9638660300053
10202133230104
11787a6a36593
1233212014aa0
13160a4273300
149ad753b848
1553d08a2689
hex2f10145218

202133230104 has 96 divisors (see below), whose sum is σ = 547931865600. Its totient is φ = 62111088000.

The previous prime is 202133230073. The next prime is 202133230127. The reversal of 202133230104 is 401032331202.

It is a super-2 number, since 2×2021332301042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3012877 + ... + 3079235.

It is an arithmetic number, because the mean of its divisors is an integer number (5707623600).

Almost surely, 2202133230104 is an apocalyptic number.

202133230104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202133230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273965932800).

202133230104 is an abundant number, since it is smaller than the sum of its proper divisors (345798635496).

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

202133230104 is a wasteful number, since it uses less digits than its factorization.

202133230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67145 (or 67128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202133230104 its reverse (401032331202), we get a palindrome (603165561306).

The spelling of 202133230104 in words is "two hundred two billion, one hundred thirty-three million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 751 1014 1352 1502 2028 2253 3004 4056 4506 6008 9012 9763 18024 19526 29289 39052 58578 66359 78104 117156 126919 132718 199077 234312 253838 265436 380757 398154 507676 530872 761514 796308 862667 1015352 1523028 1592616 1725334 2588001 3046056 3450668 5176002 6901336 10352004 11214671 20704008 22429342 33644013 44858684 49835609 67288026 89717368 99671218 134576052 149506827 199342436 269152104 299013654 398684872 598027308 647862917 1196054616 1295725834 1943588751 2591451668 3887177502 5182903336 7774355004 8422217921 15548710008 16844435842 25266653763 33688871684 50533307526 67377743368 101066615052 202133230104