Search a number
-
+
331202320100 = 225217091937989
BaseRepresentation
bin1001101000111010011…
…00100101011011100100
31011122220001121010020022
410310131030211123210
520411300243220400
6412052515054312
732633334161531
oct4643514453344
91148801533208
10331202320100
1111850a091203
1254232ba1398
132530331b202
141205d121d88
158936b30b85
hex4d1d3256e4

331202320100 has 36 divisors (see below), whose sum is σ = 719129949300. Its totient is φ = 132403340160.

The previous prime is 331202320073. The next prime is 331202320139. The reversal of 331202320100 is 1023202133.

It can be written as a sum of positive squares in 6 ways, for example, as 124788388516 + 206413931584 = 353254^2 + 454328^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 798095 + ... + 1139894.

It is an arithmetic number, because the mean of its divisors is an integer number (19975831925).

Almost surely, 2331202320100 is an apocalyptic number.

It is an amenable number.

331202320100 is an abundant number, since it is smaller than the sum of its proper divisors (387927629200).

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

331202320100 is a wasteful number, since it uses less digits than its factorization.

331202320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939712 (or 1939705 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 331202320100 its reverse (1023202133), we get a palindrome (332225522233).

The spelling of 331202320100 in words is "three hundred thirty-one billion, two hundred two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1709 3418 6836 8545 17090 34180 42725 85450 170900 1937989 3875978 7751956 9689945 19379890 38759780 48449725 96899450 193798900 3312023201 6624046402 13248092804 16560116005 33120232010 66240464020 82800580025 165601160050 331202320100