Search a number
-
+
300201332121 = 32241138405409
BaseRepresentation
bin1000101111001010110…
…01001100110110011001
31001200212112202202111100
410113211121030312121
514404303020111441
6345524404222013
730455161135425
oct4274531146631
91050775682440
10300201332121
1110635090a089
124a22099a909
1322402761342
141075bb8db85
157c201cccb6
hex45e564cd99

300201332121 has 12 divisors (see below), whose sum is σ = 435423419860. Its totient is φ = 199303787520.

The previous prime is 300201332111. The next prime is 300201332149. The reversal of 300201332121 is 121233102003.

300201332121 is a `hidden beast` number, since 300 + 20 + 1 + 3 + 321 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189486090000 + 110715242121 = 435300^2 + 332739^2 .

It is not a de Polignac number, because 300201332121 - 29 = 300201331609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300201332094 and 300201332103.

It is not an unprimeable number, because it can be changed into a prime (300201332111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69200536 + ... + 69204873.

Almost surely, 2300201332121 is an apocalyptic number.

It is an amenable number.

300201332121 is a deficient number, since it is larger than the sum of its proper divisors (135222087739).

300201332121 is a wasteful number, since it uses less digits than its factorization.

300201332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138405656 (or 138405653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300201332121 its reverse (121233102003), we get a palindrome (421434434124).

The spelling of 300201332121 in words is "three hundred billion, two hundred one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 241 723 2169 138405409 415216227 1245648681 33355703569 100067110707 300201332121